Question 1 : The point which lies on y - axis at a distance of $5$ units in the negative direction of y - axis is

Question 2 : If a straight line makes an angle $\cos^{-1}\left(\dfrac{1}{\sqrt{3}}\right)$ with each of the positive x, y and z-axis, a vector parallel to that line is?

Question 7 : 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 11 : The coordinates of the point of intersection of X-axis and Y-axis is( 0,0)<br/><span>State true or false.</span><br/>

Question 14 : From (1,4) you travel $ 5\sqrt{2}$ units by making $135^0$ angles with positive x-axis (anticlockwise) and then 4 units by making $120^0$ angle with positive x-axis (clockwise) to reach Q. Find co-ordinates of point Q.

Question 15 : Signs of the abscissa and ordinate of a point in the second quadrant are respectively

Question 17 : If a person moves either $1$ unit in the direction of positive $x$-axis or $1$ unit in the direction of positive $y$-axis per step, then the number of steps he requires to reach $(10,12)$ starting from the origin $(0,0)$ is _____________

Question 18 : The point which lies on $Y$-axis and at a distance of $2$ units in negative direction of $Y$-axis is _____

Question 20 : Distance of the line $x=64$ from the $y$ axis is _____ units

Question 22 : If a linear equation has solutions $(-2,2), (0,0)$ and $(2, -2),$ then it is of the form

Question 23 : Write the co-ordinates of the point of intersection of $X$-axis and $Y$-axis.

Question 24 : The locus of a point whose $x$-coordinates is always $5$ is the equation ______

Question 26 : <div>State true or false</div>The positions of $(5, -8)$ and $(-8, 5)$ is same

Question 28 : Which of the given points lie on $y$-axis?<br/>$A (1, 1), B (1, 0), C (0, 1), D (0, 0), E (0, 1), F ( 1, 0), G (0, 5), H ( 7, 0), I (3, 3)$<br/>

Question 30 : Write whether the following statements are True or False ? Justify your answer.<br>Point $\left(3,0\right)$ lies in the first quadrant.

Question 31 : The co-ordinates of one end point of a diameter of a circle is $(5, -2)$ and the co-ordinates of the centre is $(2, -2)$, then the co-ordinates of the other end ofthe diameter is

Question 32 : The graph of the equation $x= b$ is also a straight line parallel to _____

Question 37 : A Cartesian plane consists of two mutually _____ lines intersecting at their zeros.

Question 39 : The triangle formed by the points (3,5), (6,9), and (2,6) is

Question 40 : The coordinates of a point, which lies on $x$-axis and is at a distance of $7$ units to the right of the origin is ____

Question 45 : Write whether the following statements are True or False ? Justify your answer.<br>Points $\left(1,-1\right)$ and $\left(-1,1\right)$ lie in the same quadrant.

Question 51 : 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 52 : If the distance between the points $\left( {a\,\cos {{48}^ \circ },0} \right)$ and $\left( {\,0,a\,\cos {{12}^ \circ }} \right)$ is d,then ${d^2} - {a^2} = $

Question 53 : 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 54 : In which quadrant or on which axis each of the following points lie?<br>$(- 3, 5), (4, -1), (2, 0), (2, 2), ( -3, -6)$<br><br>

Question 55 : Fill in the blank using correct alternative. <br>Out of the following, point ......... lies to the right of the origin on X- axis.

Question 56 : $\dfrac {a}{3} + \dfrac {b}{6} = 1$<br/>If $a$ and $b$ are positive integers in the equation above, then what is the value of $a b$?<br/>

Question 57 : <span>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 </span>

Question 58 : Points $(3, - 1)$ and $(6, 1)$ lie on the line represented by the equation $px\, +\, qy\, =\, 9,$ find the values of $p$ and $q$.

Question 59 : If ${x_1},{x_2},{x_3}$ as well as ${y_1},{y_2},{y_3}$ are in <b>G.P. </b> with same common ratio, then the points <b></b>$P\left( {{x_1},{y_1}} \right)$, $Q\left( {{x_2},{y_2}} \right)$ and $R\left( {{x_3},{y_3}} \right)$

Question 62 : In the equation $2x - 3y = 12$. The value of $x$ and $y$ that satisfy the equation are-

Question 63 : The abscissa of a point on the curve $xy=(a+x)^{2}$, the normal cuts off numerically equal intercepts from the coordinate axes, is

Question 64 : Area of Rhombus is 10 sq unit . It's diagonals intersect at $(0,0)$, if one vertex of rhombus is $(3,4)$, then one of the other vertices is:

Question 65 : Which of the following is true for the points $X$ and $Y$ if the co-ordinates of the mid-points $P$ of $\overline {XY}$ are $(-2, 3)$?

Question 67 : The point which divides the line segment joining the points $ ( 7 , -6) $ and $ (3 , 4) $ in ratio $ 1 : 2 $ internally lies in the

Question 69 : Let $A(1,1,0), B(1,2,1)$ and $C(-2,2,-1)$ be three points then equation of plane is

Question 71 : Find the equation of a line passing through the point (2, -3 ) and parallel to the line 2x - 3y + 8 = 0

Question 72 : If $y=2x+3$ and $x &lt; 2$, which of the following <span>represents all the possible values for $y$?</span><br/>

Question 74 : The abscissa of two points A and B are the roots of the equation ${x^2} + 2ax - {b^2}$ and their ordinates are the root of the equation ${x^2} + 2px - {q^2}=0$. the equation of the circle with AB as diameter is

Question 75 : If the line ax + by + c = 0 is such that a = 0 and b, $\displaystyle c\neq 0$ then the line is perpendicular to

Question 77 : In which of the following quadrants does the point $ P (-7, -1) $ lie ?

Question 78 : 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 79 : If sum of distance of a point from two perpendicular lines in a plane is $1$, then its locus is ?<br>

Question 80 : The lines $x + y = | a |$ 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 81 : Consider the line: y= -x +4<br/><div><div><span>Which of the following is correct.</span><br/></div></div>

Question 82 : State True or False.<div>The point $(-x, -y)$ lies in the first quadrant where x &lt; 0, y &lt; 0.</div>

Question 83 : If the coordinates of vertices of a triangle is always rational then the triangle cannot be

Question 84 : The quadrilateral in a plane formed by joining the points $(2, 3), (4, 6), (6, 3)$ and $(4, 0)$ is a

Question 85 : The graph of equation of the form $ax + by +c=0$ where a, b are non $-$ zero numbers,<br/>represents:<br/>

Question 86 : The angles between the lines $3 x + y - 7 = 0 \text { and } x + 2 y + 9 = 0$ is:

Question 87 : The graph of polynomial $P(x) = ax - b$, where $a \neq 0; a, b \varepsilon R$ intersect intersects $X-axis$ at

Question 88 : Consider the equation of the line $\displaystyle x-3=\frac{2}{5}\left ( y-1 \right )$. <span>Which of the following is correct?</span>

Question 89 : The ratio in which the line $x+y=4$ divides the line joining the points $(-1,1)$ and $(5,7)$ is

Question 90 : If $y$ is directly proportional to $x$ and if $y=20$ when $x=6$, what is the value of $y$ when $x=9$?

Question 91 : Examine whether the point (2, 5) lies on the graph of the equation $3x\, -\, y\, =\, 1$.<br/><span>State true or false.</span><br/>

Question 92 : The straight lines given by the equations $\displaystyle x+y=2 , x-2y=5 \ and \ \frac{x}{3}+y=0$ are?<br/>

Question 93 : $y=2x+3$<br/>Which of the following statements is true about the given line?

Question 94 : <span>If the points $( 2,0 ) , ( 0,1 ) , ( 4,5 ) \text { and } ( 0 , c )$ are concyclic then the value of $c$ is </span>

Question 95 : If the points (2 , 0) , (0 , 1) , (4 , 5) and (0 , C) are concyclic , then the value of C is

Question 96 : $C$ 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 97 : Find the number of points of X-axis which are at a distance 'c' units $(c &lt; 3)$ from $(2, 3)$.

Question 99 : <div><span>Sate true or false</span></div><span>Line joining them is parallel to Y axis</span><br/>(i) $(4, 2)$<br/>(ii) $(4, -5)$<br/>(iii) $(4, 0)$<br/>(iv) $(4, -2)$<br/>

Question 101 : The graph of the function $\displaystyle \cos x.\cos (x+2)-\cos^{2}(x+1)$ is a

Question 102 : Which of the following is true about the three lines <br>$L_{1}: x - 3y + 7 = 0 , L_{2} : 2x + y - 3 = 0$ and $L_{3} : 7x +\dfrac{7y}{2}-\dfrac{21}{2}=0$<br>

Question 104 : Complete the table, to draw the graph of line $2y=3x+2$.<div><br/><table class="wysiwyg-table"><tbody><tr><td>$x:$</td><td>$3$</td><td>$\displaystyle \frac{7}{3}$<br/></td><td>$-2$</td></tr><tr><td>$y:$</td><td>$y_1$</td><td>$y_2$</td><td>$y_3$</td></tr></tbody></table></div>

Question 105 : 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

Question 106 : 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 107 : The number of circles that touch all the straight<br/>lines $x+y - 4 = 0, x - y+2 = 0$ and $y = 2$ is