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The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution.

i) Maximum no. of girls belong to which height group ?

ii) The difference in the no. of boys to the no. of girls in all the classes is_______.

If the complement of an angle is equal to the supplement of the thrice of it then the measure of the angle is

What is the distance of the point (6,18) from the X-axis?

There are twenty cards. Ten of these cards have the letter $I$ printed on them and the other $10$ have the letter $T$ printed on them. If three cards are picked up at random and kept in the same order, the probability of making word $\text{IIT}$ is:

If the function g(x) is defined by $g\left(x\right)=\frac{x^{200}}{200}+\frac{x^{199}}{199}+\frac{x^{198}}{198}+\dots \dots ..+\frac{x^2}{2}+x+5,$ then $g^{\prime }\left(0\right)=\dots \dots \dots \dots .$

Select the region that represents y${}^2$.

The length, width and height of rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is $48c{m}^3,$ the total surface area of the box is

How many solutions do the given equations have?

2x + 3y = 8,4x + 6y = 7.

Find the factors of $x^3+2x^2+2x+1$

For what value of $x$ will $△ABC$ be congruent to $△XYZ$ ?

If $A=\left[\begin{array}{cc}a& b\\ b& a\end{array}\right]\text{and}{A}^2=\left[\begin{array}{cc}\alpha & \beta \\ \beta & \alpha \end{array}\right],$ then

A cube of edge 4 cm is converted to a cuboid of height 4 cm, so the area of the base of the cuboid must be

If A and B be non-empty sets having n elements in common, then the number of elements common to $A\times BandB\times A$ is

Line a makes an angle of 30 degrees with the line b, also line c makes an angle of 30 degrees with line b. Then, ______ .

Here, $△ABC$ and $△PQR$ are congruent by SAS rule. Pair the congruent parts.

If x+y=7 and x*y=12 find x³+y³

The marks scored by 40 students of class IX in mathematics are given below:

$$\begin{array}{ccccccccccc}81,& 55,& 68,& 79,& 85,& 43,& 29,& 68,& 54,& 73,& 47,\\ 35,& 72,& 64,& 95,& 44,& 50,& 77,& 64,& 35,& 79,& 52,\\ 45,& 54,& 70,& 83,& 62,& 64& 72,& 92,& 84,& 76& 63\\ 43,& 54,& 38,& 73,& 68,& 52,& 54& & & & \end{array}$$

Prepare a frequency distribution with class size of 10 marks.

Ramesh runs along the perimeter of a field. The field is in the shape of an equilateral triangle. The total distance Ramesh ran is a multiple of ___.

A sprinter starts from the point A and runs on the circular track completing one complete round. Which of the following is equal to the distance covered in one round?

Expand (99) cube using identities

The dimensions of a brick is 30 cm $\times$ 10 cm $\times$ 5 cm. The volume of 10 such bricks will be ___ $c{m}^3$.

Question 2

A chord AB of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the major arc and also at a point on the minor arc.