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The mid points of an equilateral triangle of side 10 cm are joined to form a triangle. What type of triangle is obtained by joining the mid points?

If for triangle ABC and triangle DEF, the correspondence CAB = EDF gives a congruence, then which of the following is not true?

For any angle $\theta \in (\frac{\pi }{2},\pi ),\cot \theta$ can be written as:

The line x = 2 and y = x can intersect at how may points

What is the lower class limit for the class interval 40 - 70?

In $△ABC$, if AC $>$ AB, then which of the following options is correct?

If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then which of the following statements are correct ?

In the physics experiment, you obtained the results and you made it into quantitative manner. Now, your teacher asked you to come up with a graphical analysis for the same. So which one among the following you would go for?

If √m + √n - √p = 0 then find value of (m+n-p)^2.

Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.

Find the coordinates of points of trisection of the line segment joining the points

A(-2, 8) and B(4,12)

Question 2(iv)

Use the identity $(x+a)(x+b)=x^2+(a+b)x+ab$ to find the following products:

$(4x+5)(4x-1)$

Look at the figure given below :

If B is the centre of the circle , Find the Ratio between AB and BC.

$\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+\frac{1}{\sqrt{4}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{6}}+\frac{1}{\sqrt{6}+\sqrt{7}}+\frac{1}{\sqrt{7}+\sqrt{8}}+\frac{1}{\sqrt{8}+\sqrt{9}}$=__________.

I have 6 terms in order a, b, c, d, e, f. What is/are the middle term/s?

1. 4

Michael appeared in an examination and obtained the following marks out of 100.

$$\begin{array}{cc}\text{Name}& \text{Michael}\\ \text{Physics}& 87\\ \text{Chemistry}& 82\\ \text{Biology}& 82\\ \text{Mathematics}& 98\end{array}$$

Measure the central tendency of the above data.

The solution of $\frac{x}{a}$ + $\frac{y}{b}$ = 1 on the $xaxis$ is ?

1. 2640

Find the area (in cm${}^2$) of the shaded part in the figure given below. [Take $\pi =\frac{22}{7}$ and all the dimensions are in $cm$]

1. 10.5

Factorise:
$2x^2-x+\frac{1}{8}$

Which of the following is/are the definition of a simple event?

Median of the data 5, 9, 8, 6, 3, 5, 7, 12, 15 is

The class midpoint is equal to:

(a) The average of the upper class limit and the lower class limit.

(b) The product of upper class limit and the lower class limit.

(c) The ratio of the upper class limit and the lower class limit.

(d) None of the above.

$\frac{d}{dx}\{3\sqrt[3]{3x}-\frac{4}{\sqrt[4]{4x}}\}=$

In the figure, PQRS is a parallelogram with and QR = 10 cm. L is a point on PR. RL : LP = 2 : 3. QL produced meets RS and PS produced at M. Select the statements that are true.

Simplify: $(3\sqrt{3}+2\sqrt{2})$$(2\sqrt{3}+3\sqrt{2})$