10th Maths 10.1
NCERT Class 10th solution of Exercise 10.2
NCERT Class 10th Maths Projects
Exercise 10.1
Q1. How many tangents can a circle have?
Answer:
Infinitely many.
Q2. Fill in the blanks:
i) A tangents to a circle intersects it in _____ point (s).
ii) A line intersecting a circle in two points is called a ______.
iii) A circle can have ______ parallel tangents at the most.
iv) The common point of a tangent to a circle and the circle is called ______.
Answer:
i) 1 ii) secant iii) 2 iv) point of contact.
Q3. A tangent PQ at a point P of a circle of radius 5cm meets a line through the centre O at a point Q so that OQ=12cm. Length PQ is :
A) 12cm B) 13cm C) 8.5cm D) √119cm
Answer:
D) √119cm
Q4. Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.
Sol. :
Step of Construction:-
1) Draw a circle of centre O and any radius.
2) Draw OR⊥EF, which intersects the circle at point Q.
3) Draw CD⊥OR through point Q of the circle.
4) Through any point P on the OR inside the circle draw another line AB⊥OR which intersects the circle at point G and H.
Thus the line ABis a required secant and CD is the required tangent to the circle both parallel to the given line EF.
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