# CBSE Class 10-Mathematics: Chapter –4 Quadratic Equations Part 4

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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:**

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

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:**