Explore topic-wise InterviewSolutions in .

If two straight lines are perpendicular to the same line, prove that they are parallel to each other.

Using $a^2-b^2=(a+b)(a-b),$ find
${52}^2-{48}^2$

Question 52
In the following question, state whether the given statement is true (T) or false (F).
The number 81652318 will be read as eighty-one crore six lakh fifty-two thousand three hundred eighteen.

What was the average production (in lakhs) of all the companies in year 1999?

Represent $\frac{1}{2}$ & $\frac{-1}{2}$ on a number line. Also represent the point which exactly lies in middle of -1 and 1. [3 MARKS]

Which among the following has is the graph of x= 0 , 2y+6=12

State whether the following statements are true or false. Give reasons for your answers.

(i) Every natural number is a whole number.

(ii) Every integer is a whole number.

(iii) Every rational number is a whole number.

If the circumference of the top of a hemispherical bowl is 22 cm. Its volume is

1. 0

A die is thrown 1000 times with the following frequency for the outcomes 1, 2, 3, 4, 5 and 6 as given below :

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{frequency}& 179& 150& 157& 149& 175& 190\end{array}$

(i) Find the probability of getting a 4 or a 6
(ii) Find the probability of getting a multiple of 3 [ 2 MARKS]

What is quadrilateral give one eg-:

A cubical box of side 2m has a circular hole of radius 0.7m on each of its four walls. Find the cost of painting the box at Rs. 10 per $m^2$.

Construct a quadrilateral ABCD of which AB = 4 cm, BC = 8 cm, CD = 6 cm, AD = 4 cm, AC = 9.5 cm. Then construct a triangle of area equal to the area of ABCD. Find the dimensions of the triangle [Use Construction]

The difference in SI and CI on a certain sum of money in 2 years at $15\%p.a.$ is Rs. 144. The sum is :

In Fig. it is given that AB = BC and AD = EC. Prove that $\Delta$ABE $\cong$ $\Delta$CBD
[3 MARKS]

Please help with the below question

a cone and a sphere have equal radii and equal volume. Find the relation between the radius (r) and the height (h) of the cone

In the figure, ABC is a triangle in which $\angle B=2\angle C.\text{D is a point on side BC such that AD bisects}\angle BACandAB=CD.BE\text{is the bisector of}\angle B.\text{The measure of}\angle BACis$

If a+b+c=0 then $(\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab})$=?
(a) 1 (b) 0 (c) -1 (d) 3

Let $\overrightarrow{\alpha }=(\lambda -2)\overrightarrow{a}+\overrightarrow{b}$ and $\overrightarrow{\beta }=(4\lambda -2)\overrightarrow{a}+3\overrightarrow{b}$ be two given vectors such that $\overrightarrow{a}$ and $\overrightarrow{b}$ are non-collinear. Then the value of $\lambda$ for which vectors $\overrightarrow{\alpha }$ and $\overrightarrow{\beta }$ are collinear is :

Match the following with the values of 'x'.

Find the volume, the lateral surface area, the total surface area and the diagonal of a cube, each of whose edges measures 9m. $(Take\sqrt{3}=\mathrm{1.73.})$

Select all the quadratic polynomials with zeros 5 and -3.

In the following figure, side BA of triangle ABC is extended upto D, and DE || CB. If $\angle ADE={70}^{\circ }$ and $\angle ACB={40}^{\circ }$, find the measure of $\angle BAC.$

1. 37.5

Simplify :

0.12×(0.0104-0.002)+0.36×0.002

__________________________________

0.12×0.12

Question 5(v)

Show that:

(a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0

Find the value of expression $2\sqrt{2}+\sqrt{2}$

In $△$ABC, if $\angle B={90}^{\circ },tanA=\frac{1}{\sqrt{3}}$, then $sinAcosC+cosAsinC$=

When are three or more points said to be collinear?