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Find the cost of laying grass in a triangular field of sides 50m, 65m and 65m at the rate of ₹.7 per $m^2$

If the curved surface area of a right circular cylinder of radius 14 cm is 880 cm². Its volume is

The diagonals of a quadrilateral PQRS, PR and SQ intersect at O. If QO = OS, then find the area of triangle PQR given PR = 10 cm and altitude ST = 5 cm.

The number of values of $x\in [0,n\pi ],n\in I$ that satisfy $lo{g}_{|sinx|}(1+cosx)=2$ is

The height of a right circular cone of radius 5 cm and slant height 13 cm is

In an equation of line y = 0, if y co-ordinate is zero, then value of x co-ordinate is:

Question 7
If p(x) = x + 3 , then p(x) + p(-x) is equal to

A) 3
B) 2x
C) 0
D) 6

$\Delta ABP$ and parallelogram PABC are between the same parallel lines. If the area of parallelogram PABC is $24c{m}^2$, then the area of $\Delta ABP$ is

If $\overrightarrow{a}{}^{\prime }=\hat{i}+\hat{j},\overrightarrow{b}{}^{\prime }=\hat{i}+\hat{j}+2\hat{k}$ and $\overrightarrow{c}{}^{\prime }=2\hat{i}+\hat{j}-\hat{k}$. Then altitude of the parallelopiped formed by the vectors $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ having base formed by $\overrightarrow{b}$ and $\overrightarrow{c}$ is $(\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ and ${\overrightarrow{a}}^{\prime },{\overrightarrow{b}}^{\prime },{\overrightarrow{c}}^{\prime }$ are reciprocal system of vectors)

The numerical expression $\frac{3}{8}+\frac{-5}{7}$ equal to $\frac{-19}{56}$ states that

A coin was flipped 100 times. What is the maximum probability of occurrence of tail?

The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle. [4 MARKS]

The rational number between $\frac{2}{5}and\frac{3}{5}$ is

If the area of parallelogram ABCD is 54 square units, what is the area of parallelogram ABEF? [Given: O and P are the midpoints of AD and BC respectively]

If y = $\frac{1}{2}$ (3x+7) is rewritten in the form ax + bx + c = 0, what are the values of a, b and c?

Find the measure of $\angle$2, $\angle$3 and $\angle$4 from the given figure.

There are 2 cubes A and B each of volume $Xc{m}^3$. Cube B is cut into smaller cubes each of volume $Yc{m}^3$. The surface area and volumes of the resulting cubes are compared

S1: The ratio of volumes of A and B = 1:1

S2: The ratio of surface areas of A and B = 1:1

In triangle ABC, E and F are the mid points of the sides AC and AB respectively. The altitude AP to BC intersects EF at Q. Then

The area of a rectangle is x² + 9x + 14 . What are the dimensions if x=2 ?

What is the semi perimeter of the triangle?

Which of these statements hold true?

i.) $4(x-5)=4x-5$

ii.) $x(3x+2)=3x^2+2$

iii.) $2x^2+4\left(2x\right)+7=2x^2+8x+7$

The curved surface area of a cylindrical pillar is $264c{m}^2$ and its volume is 924$m^3$.The height of the pillar is

(a) 4 m (b) 5 m (c) 6 cm (d) 7 cm

If A, B, C are three points on a circle with centre O such that $\angle AOB={90}^{o}and\angle BOC={120}^o,then\angle ABC=$

Choose the correct answer in each of the following questions:
In a frequency distribution, the mid-value of a class is 10 and width of each class is 6. The lower limit of the class is
(a) 6
(b) 7
(c) 8
(d) 12

If $△$NVY $\cong$ $△$AJU and both the triangles are scalene, which of the following is true?

Question 95

The table shows the time four elevtors take to travel various distances. Find, which elevator is fastest and which is slowest.

How much distance will be travelled by elevators B and C seperately in 140 sec? Who traveled more and by how much?

The ratio between an exterior angle and an interior angle of a regular polygon is 2 : 3. Find the number of sides in the polygon.

The angles of a quadrilateral are in the ratio $3:5:9:13$. Find all the angles of the quadrilateral.

The value of $\{2-3(2-3{)}^3{\}}^3$ is

Express each of the following equations in the form ax+ by + c = 0 and indcate the values of a, b, c in each case.

(i) x = 6

(ii) 3x - y = x - 1

(iii) 2x + 9 = 0

(iv) 4y = 7

(v) x + y = 4

(vi) $\frac{x}{2}-\frac{y}{3}=\frac{1}{6}+y$

Side BC of a triangle ABC has been produced to a point D such that $\angle ACD={120}^{\circ }.$ If $\angle B=\frac{1}{2}\angle A,$ then $\angle A$is equal to

O is the circumcentre of the triangle ABC and OD is perpendicular on BC, Prove that $\angle BOD=\angle A$

In the given figure, O is the centre of the given circle and measure of arc ABC is ${100}^{\circ }.$ Determine $\angle ADCand\angle ABC$

Find the measure of an angle which is ${36}^{\circ }$ more than its complement.

If the ratio of mode and median of a certain data is 6:5, then find the ratio of its mean and median.

In a $\Delta ABC,\angle ABC=\angle ACB$ and the bisectors of $\angle ABC$ and $\angle ACB$ intersect at O such that $\angle BOC$= ${120}^{\circ }$. Show that $\angle A=\angle B=\angle C={60}^{\circ }$

The perimeter of an isosceles triangle is 32cm.The ratio of equal side to its base is 5:4.Find the area?

A traffic signal board including SCHOOL AHEAD is an equilateral triangle with side 'a'. Find the area of the signal board using heron's formula if its perimeter is 180cm. What will be the area of the signal board?

In a $\Delta$ ABC, the internal bisector of angle A meets opposite side BC at point D. Through vertex C, line CE is drawn parallel to DA which meets BA produced at point E. Show that $\Delta$ ACE is isosceles.

The sum of the occurrence of an event A and its non-occurrence Ᾱ is equal to

Factorise 8a^3-2a^2b-15ab^2

Ratio of volume of cone and a cylinder of base of same radius and same height is:

What is the area of a pizza (consider a circular shape) that has a diameter of 14 inches? (Take $pi=\frac{22}{7}$)