Question of Exercise 1

# Question A man standing on the deck of a ship, which is 10 m above water level, observes the angle of elevation of the top of a hill as 60º and angle of depression of the base of the hill as 30º. Find the distance of the hill from the ship.

Option 1 17.6 metres

Option 2 17.3  metres

Option 3 24.3 metres

Option 4 35.5 metres

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.

Hence,. The correct option is (C)i.e.1.

The longest chord of a circle is called its

B: secant

C: diameter

D: tangent

Solution:

Explanation:-

The longest chord of a circle is called its diameter.

It’s the chord that passes through the centre of the circle.

Hence option (c)is correct.diameter

Find quadratic polynomial whose zeroes are 3 - 3

Solution:

Explanation:-