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In a triangle PQR, L and M are two point...

In a triangle PQR, L and M are two points on the base QR, such that `angleLPQ = angleQRP` and `angleRPM = angleRQP.` Prove that:
`PQ^2=QR xxQL`

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ICSE-MIXED PRACTICE -SET B
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  2. In a triangle PQR, L and M are two points on the base QR, such that an...

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  3. In a triangle PQR, L and M are two points on the base QR, such that an...

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  4. In a rectangle ABCD, its diagonal AC = 15 cm and angleACD = alpha If ...

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  5. The given figure shows, AB is a diameter of the circle. Chords AC and ...

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  6. Use ruler and compasses for this question. Construct an isosceles tr...

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  7. Use ruler and compasses for this question. Draw AD, the perpendicula...

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  8. Use ruler and compasses for this question. Draw a circle with centre...

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  9. In triangle ABC, angleBAC = 90^@, AB = 6 cm and BC = 10 cm. A circle ...

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  10. A conical vessel of radius 6 cm and height 8 cm is completely filled w...

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  11. Prove that : (1+cotA)/(cosA)+(1+tanA)/(sinA)=2(secA+"cosec"A)

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  12. Prove that : sqrt((1+sinA)/(1-sinA))-sqrt((1-sinA)/(1+sinA))=2tanA

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  13. Solve for 0^@ le x le 90^@ 3 tan^(2)(2x-20^@)=1

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  14. Solve for x in W, 0^@ le x le 90^@ tan^2x=3(secx-1)

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  15. The angle of elevation of the top of a tower as observed from a point ...

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  16. The mean of the following frequency distribution is 50, but the freque...

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  17. A card is drawn at random from a well-shuffled deck of 52 playing card...

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  18. A card is drawn at random from a well-shuffled deck of 52 playing card...

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  19. A card is drawn at random from a well-shuffled deck of 52 playing card...

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