Question 3 : If the point $P$ lies on the line $y = 7$ and has its abscissa equal to $-2$, then its coordinates are ______

Question 4 : The sign of abscissa and ordinate of point in $II$ quadrant is

Question 5 : The coordinates of a point, lies on $x$-axis and is at a distance of $3$ units to the left of the origin is _____.

Question 6 : Write whether the following statements are True or False ? Justify your answer.<br>Point $\left(3,0\right)$ lies in the first quadrant.

Question 7 : Which of the points $P \left(0,3\right), Q \left(1,0\right),R \left(0,-1\right),S \left(-5,0\right),T \left(1,2\right)$ do not lie on the x - axis ?

Question 8 : The point which lies on $Y$-axis and at a distance of $2$ units in negative direction of $Y$-axis is _____

Question 9 : The locus of a point whose $x$-coordinates is always $5$ is the equation ______

Question 13 : Without plotting the points indicate the quadrant in which they will lie, if&#160;ordinate is $5$ and abscissa is $3$?

Question 14 : A pair of numerical coordinates is required to specify each point in a ......... plane.

Question 15 : The circumcenter of the triangle with vertices (9,3),(7,-1) and (-1,3) is (4,3) Circumradius is

Question 16 : Slope of the line $AB$ is $-\dfrac {4}{3}$. Co-ordinates of points $A$ and $B$ are $(x, -5)$ and $(-5, 3)$ respectively. What is the value of $x$

Question 17 : If $Q(x, y)$ lies in the fourth quadrant which of the following is correct?

Question 18 : On which quadrant does $P$ lie if its ordinate is $5$ and abscissa is $-3$

Question 21 : If the perpendicular distance of a point $P$ in a plane from $x$-axis is $2$ units and from $y$-axis is $7$ units, then its abscissa is

Question 25 : $A$ is a point on $X$-axis at a distance $4$ units from $Y$-axis to its left.&#160;The co-ordinates of $A$ are:

Question 26 : Which of the following points lie on the negative side of $x -$ axis ?<br>

Question 28 : The coordinates of point lying on $X$-axis and its distance from +ve Y-axis $3$ is

Question 29 : The point at which the two coordinate axes meet is called the

Question 30 : If $y$-coordinate of a point is zero then the point will always lie

Question 31 : If points $( - 7,5 ) \text { and } \left( \alpha , \alpha ^ { 2 } \right)$ lie on the opposite sides of the line $5 x - 6 y - 1 = 0$ then

Question 32 : The points (1, -1),&#160;$\displaystyle \left ( -\frac{1}{2},\frac{1}{2} \right )$ and (1, 2) are the vertices of an isosceles triangleSay yes or no.

Question 34 : The lines $x + y = | a&#160;|$&#160;and $a x - y = 1$ intersect each other in the first quadrant. Then the set of all possible values of $a$ in the interval are

Question 36 : A line has the equation $x =-2y +z$. If $(3, 2)$ is a point on the line, what is $z$?

Question 37 : If the points $(k, 2 - 2k), (1 - k, 2k)$ and $(-k -4, 6 - 2k)$ be collinear the possible value(s) of $k$ is/are

Question 38 : The points $A(2a ,4a) , B(2a,6a)$ and$C(2a + \sqrt 3 a,5a)$ (when a&gt;0) are vertices of

Question 40 : If &#160;each of the vertices of a triangle has integral co-ordinates then the triangle may be&#160;

Question 41 : Sate true or falseLine joining them is parallel to Y axis<br/>(i) $(4, 2)$<br/>(ii) $(4, -5)$<br/>(iii) $(4, 0)$<br/>(iv) $(4, -2)$<br/>

Question 42 : State true or falseThe abscissa of two points is $0$.Line joining them is Y axis

Question 43 : If ${x_1},{x_2},{x_3}$ as well as ${y_1},{y_2},{y_3}$ are in&#160;<b>G.P.&#160;</b> with same common ratio, then the points&#160;<b></b>$P\left( {{x_1},{y_1}} \right)$, $Q\left( {{x_2},{y_2}} \right)$&#160;and $R\left( {{x_3},{y_3}} \right)$&#160;

Question 44 : If the points $( 2,0 ) , ( 0,1 ) , ( 4,5 ) \text { and } ( 0 , c )$ are concyclic then the value of $c$ is

Question 45 : If the coordinates of vertices of atriangle is always rational then the triangle cannot be

Question 46 : The abscissa of two points A and B are the roots of the equation&#160;${x^2} + 2ax - {b^2}$ and their ordinates are the root of the equation&#160;${x^2} + 2px - {q^2}=0$. the equation of the circle with AB as diameter is&#160;

Question 47 : Let a, b, c and d be non-zero numbers. If the point of intersection of the lines $4ax+2ay+c=0$and $5bx+2by+d=0$lies in the fourth quadrant and is equidistant from the two axes then

Question 48 : Let $A(1,1,0), B(1,2,1)$ and $C(-2,2,-1)$ be three points then equation of plane is

Question 49 : If a point $P$ has coordinates $(3,4)$ in a coordinate system $X'OX\leftrightarrow Y'OY$, and if $O$ has coordinates $(4,3)$ in another system ${X}_{1}'{O}_{1}{X}_{1}\leftrightarrow {Y}_{1}'{O}_{1}{Y}_{1}$ with $X'OX\parallel {X}_{1}'{O}_{1}{X}_{1}$, then the coordinates of $P$ in the new system ${X}_{1}'{O}_{1}{X}_{1}\leftrightarrow {Y}_{1}'{O}_{1}{Y}_{1}$ is ________________

Question 50 : $C$ is a point on the line segment joining the points $A(2,-3,4)$ and $B(8,0,10)$. If the value of $y$-coordinate of $C$ is $-2$, then the $z-$coordinate of $C$ is

Question 51 : The points $A\left( {2a,\,4a} \right),\,B\left( {2a,\,6a} \right)\,$ and $C\left( {2a + \sqrt 3 a,\,5a} \right)$ (when $a&gt;0$) are vertices of&#160;

Question 52 : If the coordinates of the extermities of diagonal of a square are $(2,-1)$ and $(6,2)$, then the coordinates of extremities of other diagonal are

Question 53 : Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. Nuri's age is _____

Question 56 : Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs. $700$ when there are $25$ boarders and Rs. $600$ when there are $50$ boarders. What is the average expense per boarder when there are $100$ boarders?

Question 57 : Solve 3x + 2y + 25 = 0 &amp; x + y + 15 = 0

Question 58 : If $x = \dfrac {\sqrt {3}}{2}$, then $\dfrac {\sqrt {1 + x}}{1 + \sqrt {1 + x}} + \dfrac {\sqrt {1 - x}}{1 - \sqrt {1 - x}}$ is equal to

Question 59 : Which of the following equations has the vertex of $(3, -3)$?

Question 60 : If $\dfrac {a + b}{10} = \dfrac {a - 0.1b^{2}}{a - b}$, what is the value of $a$?

Question 61 : Choose the correct answer from the alternatives given :<br/>If $2x&#160;+ 3y = 12$ and $3x-2y = 5$, then

Question 62 : The graph of the equation $x= b$ is also a straight line parallel to _____

Question 63 : If A's income be Rs. 80,000 per annum and the difference between the income of B and D be the same as A's income, B's income is

Question 68 : If point (3, 0) lies on the graph of the equation $ 2x + by = k$, then the value of $k$ is :<br/>

Question 69 : Nadim is hosting a party and is hiring a catering company to make and serve the food. The caterer charges a flat fee for serving the food plus a per person rate for the meals. If the equation used to calculate the total cost of Nadim's party is $\displaystyle y=11x+300$, then which of the following most likely represents the number of people attending the party

Question 70 : The option which is not a solution of the equation $2x + 3y = 6$, is

Question 72 : If the expression$ \displaystyle (x+y)^{-1}. (x^{-1}+y^{-1})(xy^{-1}+x^{-1}y)^{-1} $ is simplefied it takes the form of which one of the following ?

Question 73 : Twice a number minus three times another is equal to $2$. The sum of these numbers is $11$. The difference of these numbers is

Question 74 : Consider the equation:<br/>$\displaystyle y+7x=3x-2y+28$<br/>If $y = 2$, what is the value of $x$?

Question 75 : If $d_1$ is the distance between the lines $3x + 4y + 5 = 0$ and $6x + 8y + 20 = 0$, and $d_2$ is the distance between the lines $5x + 12y + 13 = 0$ and$10x + 24y + 52 = 0$, then$\dfrac{d_1}{d_2}$ equals.

Question 76 : Cost of one apple is $3$ times the cost of an orange.&#160;If price of $3$ apples is $72$ then price of $6$ oranges will be Rs. _____

Question 77 : The angles between the lines $3 x + y - 7 = 0 \text { and } x + 2 y + 9 = 0$ is:

Question 78 : A machine takes $2$ litres of petrol to start and then $3$ litres per hour while running.&#160;What will the no. of hours for which machine run if total $20$ litres of petrol is used?

Question 79 : In a examination, a student attempted 15 questions correctly and secured 40 marks. If there were two types of questions i.e. of 2 marks and 4 marks, how many questions of 2 marks did he attempt correctly ?

Question 80 : The product of 2 whole numbers is 1000. If neither of the number is a multiple of 10. What is their sum?

Question 81 : Reduce equations to a pair of linear equations and find the value of&#160;x and y: <br/>$\dfrac{6}{x} + \dfrac{1}{y} = 31; \dfrac{2}{x} + \dfrac{3}{y} = 16$

Question 83 : A man started his job with a certain monthly salary andearned a fixed increment every year. If his salary was $Rs.4500$ after $5$ years of service and $Rs.5550$ after $12$ years of service, what was his starting salary and what was his annual increment.

Question 84 : The ratio of two numbers is $5:4$ and their sum is $54$. The greater of the two numbers is&#160;

Question 85 : Given that $\displaystyle \frac{x}{y} = 6$ and&#160;$\displaystyle 4(y+ 1)&#160;= x$<br/>If $(x, y)$ is the solution to the system of equations&#160;above, what is the value of $y$?

Question 86 : The sum of the ages of $X$ and $Y$ $12$ years ago was $48$ years and the sum of the ages of $X$ and $Y$ $12$ years hence will be _____ years.

Question 87 : The budget for the annual day function of a school was Rs. $60,000$, out of which Rs. $14,500$ was paid to the tent house, Rs. $10,400$ to the band party and Rs. $5,000$ for refreshments. How much money was left over after meeting the expenses?

Question 88 : Manoj, the landscaper buyer intends to buy a new commercial grade lawn mower that costs $\$2,800$. He expects it to last about $8$ years, and then he can sell it for scrap metal with a salvage value of about $\$240$. Calculate it's approximate value after $x$ years $(x&lt;8)$ assuming that it's value depreciates at a constant rate.<br/>

Question 90 : If the numerator of a fraction is increased by $2$ and the denominator is decreased by $4$ then it becomes $2$. If the numerator is decreased by $1$ and the denominator is increased by $2$, then it becomes $\dfrac13$. Find the sum of the numerator and denominator of the fraction.

Question 91 : $300$ works were engeged to finish a piece of work in a certain number pf days. $8$ workers dropped on the second day, $8$ more workersdropped the third day and so on. It takes $8$ more days to finish the work now. Find the number of days in which the work was completed.

Question 92 : A bakery gave out coupons to celebrate its grand opening. each coupon was worth either $1$, $3$, or $5$. Twice as many $1$ coupons were given out as $3$ coupons, and $3$ times as many$3$ coupons were given out as $5$ coupons. The total value of all the coupons given out was $360$. How many $3$ coupons were given out?

Question 93 : Manoj, the landscaper buyer intends to buy a new commercial grade lawn mower that costs $\$2,800$. He expects it to last about $8$ years, and then he can sell it for scrap metal with a salvage value of about $\$240$. Calculate it's approximate value after $x$ years $(x&lt;8)$ assuming that it's value depreciates at a constant rate.<br/>