H K Dass, Rama Verma and, Bhagwat Swarup Sharma Solutions for Chapter: Circles, Exercise 2: EXERCISE

Author:H K Dass, Rama Verma & Bhagwat Swarup Sharma

H K Dass Mathematics Solutions for Exercise - H K Dass, Rama Verma and, Bhagwat Swarup Sharma Solutions for Chapter: Circles, Exercise 2: EXERCISE

Attempt the free practice questions on Chapter 10: Circles, Exercise 2: EXERCISE with hints and solutions to strengthen your understanding. New Mathematics for Class X solutions are prepared by Experienced Embibe Experts.

Questions from H K Dass, Rama Verma and, Bhagwat Swarup Sharma Solutions for Chapter: Circles, Exercise 2: EXERCISE with Hints & Solutions

MEDIUM
10th CBSE
IMPORTANT

ABCD is a quadrilateral such that D=90°. A circle C(0, r) touches the side AB, BC, CD and DA at P, Q, R and S respectively. If BC=38 cm, CD=25 cm and BP=27 cm. Find r.

EASY
10th CBSE
IMPORTANT

In two concentric circles, prove that a chord of larger circle, which is tangent to smaller circle, is bisected at the point of contact.

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MEDIUM
10th CBSE
IMPORTANT

In fig, l and m are two parallel tangents at P and R. The tangent at Q makes an intercept ST between l and m. Prove that SOT=90°.

Question Image

EASY
10th CBSE
IMPORTANT

PA and PB are tangents from point P to the circle with Centre O. At point M, a tangent is drawn cutting PA at K and PB at N. Prove that KN=AK+BN

MEDIUM
10th CBSE
IMPORTANT

From an external point P two tangents PA and PB are drawn to the circle with Centre O. Prove that OP is a perpendicular bisector of AB.

MEDIUM
10th CBSE
IMPORTANT

In fig., the incircle of ABC touches the sides BC, CA and AB at D, E and F respectively. Show that

AF+BD+CE=AE+BF+CD=12(Perimeter of ABC)

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MEDIUM
10th CBSE
IMPORTANT

Find the locus of centres of circles which touch a given line at a given point.

EASY
10th CBSE
IMPORTANT

Find the locus of centres of circles which touch two intersecting lines.