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The height of a right circular cylinder with lateral surface area 792 sq cm is 21 cm. The diameter of the base is:

The point (15.2, -18.92) belongs to _____ quadrant.

Number of runs scored by a cricket player in 25 innings are as follows:

26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 15, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64, 47.

The number of centuries scored by him is

The areas of three adjacent faces of a cuboid are $x,y$ and $z.$ If the volume is $V,$ then $V^2$ is

Factorize:

$y^3-3y^2+2y-6-xy+3x$

In the figure, given alongside, CP bisects angle ACB.

Show that DP bisects angle ADB.

If $\alpha$ and $\beta$ are the zeros of polynomial

$x^2+3x-2$, find $\frac{1}{(\alpha {)}^3}+\frac{1}{(\beta {)}^3}$.

1. 70

Prove that in any circle, the tangents at two points make equal angles with the chord joining the points of contact.

If P = 2(l+b) & P = 25, l = 8, then b is equal to

Match the following with the values of 'x'.

In $\Delta ABC,N$ is any point on the median AM, where M is on the side BC. If $ar\left(ABC\right)=80c{m}^{2}andar\left(BMN\right)=12c{m}^2,$ then the area of $\Delta ABN$ is

Question 108(iv)

Verify the property $x\times y=y\times x$ of rational numbers by using

$x=\frac{-3}{8}$ and $y=\frac{-4}{9}$

If x+y+z=1,xy+yz+zx=-1 and xyz=-1 , x³+y³+z³=?

If $a+b+c=7$ and $ab+bc+ca=20$ find the value of $a^2+b^2+c^2$

Find the value of $64x^3-125z^3,if4x-5z=16andxz=12.$

Let $x=\frac{p}{q}$ be a rational number, such that the prime factorization of q is not of the form $2^n{5}^m$, where n, m are non-negative integers. Then, x has a decimal expansion which is ____________.

Question 114

Four times the area of the curved surface of a cylinder is equal to 6 times the sum of the areas of its bases. If its height is 12 cm, find its curved surface area.

From the options given below, choose the option which has all the measurements you'll require to construct a quadrilateral ABCD.

The measure of an angle whose supplement is equal to itself is

The expanded form of an expression is $x^2+y^2+z^2+2xy+2yz+2zx$. Which of the following is the expression?

1. 58.125

If the sum of three angles (in degrees) of a quadrilateral is a perfect square number but the fourth angle is acute, then the sum of all possible measures of the fourth angle is

Question 122

Work out the surface area of the following shape.

If the angles of a quadrilateral are in the ratio 1:2:3:6. Then the largest angle of the quadrilateral is:

If the number $91876y2$ is completely divisible by $8$, then the smallest whole number in place of $y$ will be:

In the figure shown, the area of triangle APB is

Express $x^{\frac{3}{4}}({\log }_{3}x{)}^2+{\log }_{3}x-\frac{5}{4}=\sqrt{3}$​ in terms of t where t = ${\log }_3$ x.

Find the remainder when q(t) = 4t³ + 4t² – t - 1 is divided by 2t + 1

Subtract: $2\frac{1}{58}-\frac{34}{58}-\frac{3}{58}$

7 is the mean proportion between two numbers x and y and 56 is third proportion to x and y. Find the numbers.

1. 122