Two circle with centres and Q touch each other externally, a straight line drawn through the point of contact intersects the circle with centre p at A and the circle Q at B ,then prove 2AP =BQ
Answers
Circles Exercise 10.6 Solution – Chapter Circles – Class 10
August 16, 2017
Ashoora Arif
Circles Exercise 10.6 – Questions:
I. Numerical problems on touching circles.
Three circles touch each other externally. Find the radii of the circles if the sides of the triangle formed by joining the centres are 7 cm, 8 cm and 9 cm respectively.
Three circles with centres A, B and C touch each other as shown in the figure. IF the radii of these circles are 8 cm, 3 cm and 2 cm respectively, find the perimeter of ∆ABC.
In the figure AB = 10 cm, AC = 6 cm and the radius of the smaller circle is x cm. Find x.
II. Riders based on touching circles.
A straight line drawn through the point of contact of two circles with centres A and B intersect the circles at P and Q respectively. Show that AP and BQ are parallel.
Two circles with centres X and Y touch each other externally at P. Two diameters AB and CD are drawn one in each circle parallel to other. Prove that B, P and C are collinear.
In circle with centre O, diameter AB and a chord AD are drawn. Another circle is drawn with OA as diameter to cut AD at C. Prove that BD = 2.OC