Question of Exercise 2 (Subjective)

Arithmetic Progression of Class 10

Question
Balls are arranged in rows to form an equilateral triangle. The first row consists of one ball, the second of two balls, and so on. If 669 more balls are added, then all the balls can be arranged in the shape of a square and each of its sides then contains 8 balls less than each side of the triangle. Determine the initial number of balls.

Frequently Asked Questions

Find the roots of the following quadratic equations by factorisation

quadratic equations

Solution:

Explanation:

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

quadratic equations 1

quadratic equations2

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:

of tangents

Hence, the length of each tangent is3√3cm


Final Answer:

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.

Final answer:-

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

 

 

The longest chord of a circle is called its

A: radius

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.

Final answer:-

Hence option (c)is correct.diameter

 

Find quadratic polynomial whose zeroes are 3 - 3

Solution:

Explanation:-

quadratic polynomial1

Final answer:-

The quadratic polynomial is x2-9 whose zeroes are: 3, - 3

 

 

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