# CBSE Class 10-Mathematics: Chapter – 4 Quadratic Equations Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 11:

A pole has to be erected at a point on the boundary of a circular park of diameter in such a way that the differences of its distance from two diametrically opposite fixed gates A & B on the boundary in . Is it possible to do so? If answer is yes at what distances from the two gates should the pole be erected.

Answer: Ques-11-the Two Gates Should the Pole be Erected

APQ

Pole has to be erected at a distance of from gate B & 12m from gate A.

Question 12:

If the roots of the equation are equal. Prove that .

Answer:

Question 13:

are centers of circles of radius and . Z is the centre of a circle of radius , which touches the above circles externally. Given that , write an equation in and solve it for .

Answer:

Let be the radius of the third circle Centers of Circles of Radius

APQ

## Level – 01 (01 Marks)

Question 1:

Check whether the following are quadratic equation or not

i.

ii.

Answer:

i. yes, quadratic equation

ii. Not, quadratic equation

Question 2:

Solve by factorization method

Answer:

Question 3:

Find the discriminant

Answer: