CBSE Class 10-Mathematics: Questions and Answers Chapter – 10 Circles Part 8 (For CBSE, ICSE, IAS, NET, NRA 2023)
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Question 14:
In the given figure, O is the center of the circle with radius 5 cm and AB|| CD. If AB = 6 cm, find OP.
Answer:
From right
Question 15:
Prove that the tangents at the end of a chord of a circle make equal angles with the chord.
Answer:
In and
And
[Common]
Question 16:
Find the locus of the center of circles which touch a given line at a given point.
Answer:
Let APB be the given line and let a circle with center touch APB at P. Then , let there be another circle with center O ′ which touches the line APB at P.
Thus,
Question 17:
In the given figure, find the perimeter of , if .
Answer:
BC touches the circle at R
Tangents drawn from external point to the circle are equal.
And
Perimeter of
Question 18:
If PA and PB are tangents drawn from external point P such that and , find the length of chord AB.
Answer:
is equilateral triangle