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In Fig. 10.60, P A and P B are tan...

In Fig. 10.60, `P A` and `P B` are tangents from an external point `P` to a circle with centre `O` . `L N` touches the circle at `M` . Prove that `P L+L M=P N+M N` . (FIGURE)

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RD SHARMA-CIRCLES-All Questions
  1. In Fig. 10.57, a circle is inscribed in a quadrilateral A B C D in ...

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  2. In Fig. 10.59, A B is a chord of length 16cm of a circle of radi...

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  3. In Fig. 10.60, P A and P B are tangents from an external point P...

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  4. In Fig. 10.61, B D C is a tangent to the given circle at point D...

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  5. In Fig. 10.62, P O|Q O . The tangents to the circle at P and Q i...

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  6. The lengths of three consecutive sides of a quadrilateral circumscr...

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  7. In Fig. 10.67, O Q : P Q=3:4 and perimeter of P O Q=60 c m . De...

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  8. In Fig. 10.72, P A and P B are tangents to the circle drawn from...

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  9. What is the distance between two parallel tangents of a circle of r...

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  10. The length of a tangent from a point A at distance 5 cm from the ce...

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  11. Two tangents T P and T Q are drawn from an external point T to a...

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  12. What is the distance between two parallel tangents to a circle of r...

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  13. In Q. No. 1, if P B=10 c m , what is the perimeter of P C D ?

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  14. In Fig. 10.74, C P and C Q are tangents to a circle with centre ...

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  15. In Fig. 10.75, A B C is circumscribing a circle. Find the lengt...

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  16. In Fig. 10.76, C P and C Q are tangents from an external point C...

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  17. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

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  18. In Fig. 10.77, P A and P B are tangents to the circle with centr...

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  19. A tangent P Q at a point P of a circle of radius 5cm meets a line t...

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  20. From a point Q , the length of the tangent to a circle is 24cm a...

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