Explore topic-wise InterviewSolutions in .

Which of the following will result in a rational number?​

In a $\Delta ABC$, BM and CN are perpendiculars from B and C respectively on any line passing through A . If L is the mid-point of BC, prove that ML = NL.

In the given figure, F and E are points on the side AD of $\Delta ABD$. Through F a line is drawn parallel to AB to meet BD at the point C. Area of quadrilateral BCEF is equal to ________ .

Find the area of an equilateral triangle having each side x cm.

If ${(x}^4+x^{2}y+y^2)$ is one of the factors of an expression which is the difference of two cubes, then the other factor is .

In the given figure, ABCD is a parallelogram. If $ar\left(\Delta AOD\right)=32c{m}^2,$ then $ar\left(\Delta ABP\right)$ will be

In the given figure, ABCD is a cyclic quadrilateral. AF is drawn parallel to CB and DA is produced to point E. If $\angle ADC={92}^{\circ },\angle FAE={20}^{\circ };determine\angle BCD.$ Give reason in support of your answer.

A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 9 cm, 28 cm, and 35 cm and the parallelogram stands on the base is 9 cm, then the height (in cm) of the parallelogram is

For each of the products below, find out whether the answer is rational or irrational.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

An irrational number between 3 and 4 is .

Factorise:

$(a^2-3a)(a^2-3a+7)+10$

‘-p’ and ‘q’ are the zeroes of the polynomial

$x^2–bx+c$.

The zeroes of the polynomial $x^2–bxy+c{y}^2$are

Find the lateral curved surface area of a cylindrical petrol storage tank that is 4.2 m in diameter an 4.5 m high. How much steel was actually used, if $\frac{1}{12}$ of steel actually used was wasted in making the closed tank?

Name degree of polynomial - -3x + 2

1. 75

The distance between $\frac{6}{5}$ and $-\frac{5}{2}$ on the number line is units.

Identify the dividend from the following statement .
A plant grows $24$ inches in a year. So it grows $2$ inches in a month.

Which of the following is irrational number?

What type of angle is it between the minute and the hour hand shown on the clock below?

D is the mid-point of side BC of a $\Delta ABC$. AD is bisected at the point E and BE produced cum AC at the point X. Prove that BE EX= 3:1

If (x-a) is factor of $x^3+ax+a+1$. Which of the following is true?

23.$\overline{43}$ when expressed in the form $\frac{p}{q}$ (p,q are integers $q\ne 0$ ), is

If the areas of two triangles are in the ratio of $m:n$ and the ratio of their bases is $p:q,$ then the ratio of their altitudes is

The construction of $\Delta ABC,$ given that $BC=3cm$, is possible when the difference of the sides $AB$ and $AC$ is equal to

The set $(A\cap B^{\prime }{)}^{\prime }\cup (B\cap C)$ is equal to

If $\alpha \&\beta$ are the zeroes of a quadratic polynomial p(x) and k is any constant, then what is the general form of the polynomial?

The graph of --------------- is a straight line parallel to X axis.

Question 2 (ii)
(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.
All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

how many cross-streets can be referred to as (3, 4)?