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Match the following figures with the fractions they represent.

Find the area of the parallelogram in which, $AE=4cm$ and $CD=8cm$.

A sum of money becomes $\frac{125}{64}$ times of itself in 3 years. Find the rate of compound interest.

Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height.

$cos{78}^{\circ }cos{42}^{\circ }cos{36}^{\circ }=\frac{1}{8}$

The floor of a rectangular hall has a perimeter $250m$. If the cost of panting the four walls at the rate of $Rs.10$ per $m^2$ is $Rs.15000$, find the height of the hall.

[Hint: Area of the four walls = Lateral surface area.]

Find the coordinates of point J as shown in the graph.

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Question 3 (i)

Simplify:

$2^{\frac{2}{3}}{.2}^{\frac{1}{5}}$

If |A| = 2 and |B| = 4 and angle between them is ${60}^{\circ }$, then |A - B| is

1. 1024

Lines AB and CD intersect at point O. If $\angle AOD={50}^{\circ }$, then match the following.

If

$x=5+2\sqrt{6},\text{then find the value of}\sqrt{x}+\frac{1}{\sqrt{x}}.$

$\text{In}\Delta \text{ABC, a = 13 cm, b = 12 cm and c = 5 cm. Then, the distance of A from BC is}$

At what point the graph of x+y=5 cuts the axis

Experimental probability of an event is

${\left[\right(B^{\prime }\cup (B^{\prime }-A)\left)\right]}^{\prime }$ =_____

What is the coefficient of x in x³ + 3x² – 2x - 1

In ΔABC, we have ∠A = 60° and ∠B = 70°. Is the vertex C inside or outside the circle with diameter AB?

Question 1 (i)
In an isosceles triangle ABC, with AB = AC, the bisectors of $\angle Band\angle Cintersect$
each other at O. Join A to O. Show that:
OB = OC

The class marks of a frequency distribution are given as follows: 15,20,25,.................... The class corresponding to the class Mark 20 is?

In the adjoining figure, ABCD is a quadrilateral. How many pairs of adjacent sides are there? Name them.

The simple interest on a certain sum for three years is rupees 225 and the compound interest on the same sum at the same rate for 2 years is rupees 153 find the rate of interest and the principal

In the figure ABCD is a rhombus. If ∠A =70^o, then ∠CDB is

The polynomial $a{x}^2+bx+c$ is a linear polynomial if

Which quadrant does the point (-3, 6) lie in?

From the adjoining figure, if $\angle$2 = 55${}^{\circ }$ and $\angle$5 = 60${}^{\circ }$ then the lines m and n are

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If each observation of the data is decreased by 8 then their mean
(a) remains the same
(b) is decreased by 8
(c) is increased by 5
(d) becomes 8 times the original mean

A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches 6 m above the ground. Find the length of the ladder.

Let X and Y be two arbitary, 3 $\times$ 3 non – zero, skew – symmetric matrices and Z be an arbitary, 3 $\times$ 3 non zero, symmetric matrix. Then, which of the following matrices is/are skew-symmetric?