Question 1 :
The graph of the line $5x + 3y = 4$ cuts the $y$-axis at the point

Question 2 :
If $2x + y = 5$, then $4x + 2y$ is equal to _________.

Question 3 :
Two perpendicular lines are intersecting at $(4,3)$. One meeting coordinate axis at $(4,0)$, find the coordinates of the intersection of other line with the cordinate axes.

Question 4 :
If the equations $4x + 7y = 10 $ and $10x + ky = 25$ represent coincident lines, then the value of $k$ is

Question 5 :
A member of these family with positive gradient making an angle of$\frac{\pi }{4}$ with the line3x-4y=2, is

Question 6 :
The graph of the lines $x + y = 7$ and $x - y = 3$ meet at the point

Question 7 :
Choose the correct answer which satisfies the linear equation: $2a + 5b = 13$ and $a + 6b = 10$

Question 9 :
The hypotenuse 'c' and one arm 'a' of a right triangle are consecutive integers. The square of the second arm is:

Question 10 :
There is a Pythagorean triplet whose one member is $6$ and other member is $10$

Question 11 :
In$ \displaystyle \bigtriangleup $ ABC , angle C is a right angle, then the value of$ \displaystyle \tan A+ \tan B is $

Question 12 :
The sides of a triangle are given below. Check whether or not the sides form a right-angled triangle.$13cm, 12cm, 5cm$

Question 13 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $b$ when $c=13 \ cm$ and $a=5 \ cm$.

Question 14 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $a$ when $c=25 \ cm$ and $b=7 \ cm$.

Question 15 :
The sides of a triangle are given below. Check whether or not the sides form a right angled triangle.$50cm, 80cm, 100cm$

Question 16 :
$4\, RN^{2}\, =\, PQ^{2}\, +\, 4\, PR^{2}$<br/><b>State whether the above statement is true or false.</b><br/>

Question 17 :
If a point $P\left(\displaystyle\frac{23}{5}, \frac{33}{5}\right)$ divides line AB joining two points $A(3, 5)$ and $B(x, y)$ internally in ratio of $2:3$, then the values of x and y will be.

Question 18 :
The vertices P, Q, R, and S of a parallelogram are at (3,-5), (-5,-4), (7,10) and (15,9) respectively The length of the diagonal PR is

Question 19 :
In what ratio, does $P(4, 6)$ divide the join of $A(-2, 3)$ and $B(6, 7)$

Question 20 :
A(2,6) and B(1,7) are two vertices of a triangle ABC and the centroid is (5,7) The coordinates of C are

Question 22 :
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 24 :
<br/>Let $\mathrm{P}(\mathrm{x}_{1},\mathrm{y}_{1})\mathrm{b}\mathrm{e}$ any point on the cartesian plane then match the following lists:<br/>&#160;<br/><table class="table table-bordered"><tbody><tr><td>&#160;LIST - I &#160; &#160;</td><td>&#160;LIST - II</td></tr><tr><td>&#160;$\mathrm{A})$ The distance from&#160;$\mathrm{P}$ to X-axis</td><td>1) $0$</td></tr><tr><td>&#160;$\mathrm{B})$ The distance from&#160;$\mathrm{P}$ to Y-axis</td><td>2) $|\mathrm{y}_{1}|$</td></tr><tr><td>&#160;$\mathrm{C})$ The distance from&#160;$\mathrm{P}$ to origin is&#160;</td><td>&#160;3) $\sqrt{x_{1}^{2}+y_{1}^{2}}$&#160;</td></tr><tr><td>&#160;</td><td>4)$ |x_{1}|$&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160;</td></tr></tbody></table>

Question 26 :
IF&#160;$ \displaystyle \tan \theta =\sqrt{2} &#160; &#160;$ , then the value of&#160;$ \displaystyle \theta &#160; &#160; $ is&#160;

Question 27 :
The value of $[\dfrac{\tan 30^{o}.\sin 60^{o}.\csc 30^{o}}{\sec 0^{o}.\cot 60^{o}.\cos 30^{o}}]^{4}$ is equal to

Question 29 :
If$\displaystyle \cot A=\frac{12}{5}$ then the value of$\displaystyle \left ( \sin A+\cos A \right )$ $\displaystyle \times cosec$ $\displaystyle A$ is

Question 31 :
Find the value of&#160;$ \displaystyle &#160;\theta , cos\theta &#160;\sqrt{\sec ^{2}\theta -1}&#160; &#160; &#160;= 0$

Question 32 :
As value of $x$ increases from $0$ to $\cfrac{\pi}{2}$, the value of $\cos {x}$:

Question 33 :
Lines are drawn through the point P(-2, -3) to meet the circle ${ x }^{ 2 }+{ y }^{ 2 }-2x-10y+1=0$. The length of the line segment PA.A being the point on the circle where the line meets the circle at coincident points, is

Question 34 :
The tangent to a circle is ..... to the radius through the point of contact.

Question 35 :
If the angle between two radii of a circle is $140^{\circ}$, then the angle between the tangents at the ends of the radii is :<br/>

Question 36 :
Assertion: If length of a tangent from an external point to a circle is 8 cm, then length of the other tangent from the same point is 8 cm. Reason: Length of the tangents drawn from an external point to a circle are equal.

Question 38 :
If a line intersects a circle in two distinct points then it is known as a

Question 39 :
The lengths of tangent drawn from an external point to a circle are equal.

Question 40 :
The tangents drawn at the ends of a diameter of a circle are ?

Question 42 :
Ticket numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

Question 43 :
The probability of an event happening and&#160;the probability of the same event not happening (or the&#160;complement) must be a <br/>

Question 44 :
If $P(A) = \dfrac{5}{9}$, then the odds against the event $A$ is

Question 45 :
If the odd in favour of an event are $4$ to $7$, find the probability of its no occurence.

Question 46 :
A pair of dice is thrown once The probability that the sum of the outcomes is less than 11 is

Question 47 :
A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number between 1 to 15. What is the probability that it will point to an odd number.

Question 48 :
The probability of an event $A$ lies between $0$ and $1$, both inclusive. Which mathematical expression best describes this statement?<br/>

Question 53 :
To get the terminating decimal expansion of a rational number $\dfrac{p}{q}$. if $q = 2^m 5^n$ then m and n must belong to .................

Question 55 :
What is the HCF of $4x^{3} + 3x^{2}y - 9xy^{2} + 2y^{3}$ and $x^{2} + xy - 2y^{2}$?

Question 56 :
The ........... when multiplied always give a new unique natural number.

Question 57 :
Choose the correct answer from the alternatives given.<br>If the expression $2x^2$ + 14x - 15 is divided by (x - 4). then the remainder is

Question 58 :
Divide the first expression by the second. Write the quotient and the remainder.<br/>$a^2-b^2 ; a-b$

Question 60 :
The degree of the remainder is always less than the degree of the divisor.

Question 61 :
If the roots of ${ x }^{ 2 }-2mx+{ m }^{ 2 }-1=0$ lie between $-2$ and $4$, then

Question 62 :
Find the Quotient and the Remainder when the first&#160;polynomial is divided by the second.$-6x^4 + 5x^2 + 111$ by $2x^2+1$

Question 63 :
State whether True or False.Divide : $a^2 +7a + 12 $ by $&#160; a + 4 $, then the answer is&#160;$a+3$.<br/>

Question 64 :
Factorise the expressions and divide them as directed.$12xy(9x^2-&#160; 16y^2)\div&#160; 4xy(3x + 4y)$