Question of Exercise 3(Subjective)

# Question Sum and product of zeros of a quadratic polynomial are 2 and respectively. Find the quadratic polynomial.

The horizontal distance between two towers is 140m

The angle of elevation of the
top of the first tower, when seen from the top of the second tower is 30º If the height of the second tower is 60m , find the height of the first tower.

Solution:

Explanation:

Let draw the figure according to teh given question

The height of the tower is found to be 140.83m.

Prove that in a right triangle the square on the

hypotenuse is equal to the sum of the squares on the other two sides.

Solution:

Explanation:

Given: Right angle triangle ABC, right angled at B

Hence, In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides (AC2=AB2+BC2).

Find the roots of the following quadratic equations by factorisation

Solution:

Explanation:

We have to find the roots of the following quadratic equations by factorisation:

If two tangents inclined at an angle of 60º

are drawn to a circle of radius 3 cm, then length of each tangent (in cm) is equal to :

Solution:

Hence, the length of each tangent is3√3cm

The length of each tangent is 3√3cm

A polynomial of degree ___ is called linear polynomial

A: 0

B: 2

C: 1

D: None of these

Solution:

Explanation:

The general form of linear polynomial is P(x)=ax+b where x is a variable  and b is a  constant.

The first term of this polynomial has power 1 and therefore, the degree of the polynomial is 1.

A  polynomial of degree 1 is called linear polynomial.