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If p1,p2,p3 are the lengths of the alti...

If `p_1,p_2,p_3` are the lengths of the altitudes ofa tringle from the vertices A,B,C, then `1/p_1^2+1/p_2^2+1/p_3^2=`

A

`a^(2) - b^(2) - c^(2)`

B

`a^(2) - b^(2) + c^(2)`

C

`a^(2) + b^(2) + c^(2)`

D

none of these

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE (B) Properties of triangles
  1. If cos A = (sin B)/(2 sin C) , then Delta ABC is

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  2. If, in a /\ ABC, (2 cos A)/a + (cos B)/(b) + (2 cos C)/(c) = a/(bc) ...

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  3. In Delta ABC (b-c) cdot sin A + (c - a) cdot sin B + (a - b) cdot si...

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  4. In any triangle A B C , prove that following: \ (cos^2B-cos^2C)/(b+c)+...

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  5. If the sides of a triangle are x, y and sqrt((x^(2) + xy + y^(2))), t...

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  6. In any DeltaABC, prove that : (a^2 sin (B-C))/(sin B + sin C) + (b^2 s...

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  7. In any DeltaABC, prove that : (b+c) cos A + (c+a) cos B + (a+b) cos C ...

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  8. If theta is real , then: c cdot cos(A - theta) + a cdot cos(C + theta)...

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  9. In Delta ABC, (cot B + cot C)/(cot C + cot A) = ....

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  10. If : 2 sin B cdot cos C = sin A, then Delta ABC is

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  11. If A = 3B and a = 2b, then :m /B = ...

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  12. If mangleA = 60^(@), then (a+b+c)(-a+b+c)=….

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  13. If a ,c , b are in A.P., then : a cos B - b cos A = ........

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  14. In Delta ABC,(cos 2A)/(a^2) - (cos2B)/(b^2) = ......

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  15. In Delta ABC, (tan B)/(tan C) = .........

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  16. In a triangleABC, a^(2) sin 2C+c^(2) sin 2A=

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  17. If Delta ABC is right -angled at C, then: (a^2 + b^2)/(a^2 - b^2) cd...

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  18. If the angles A,B,C of Delta ABC are in A.P. And its sides a,b,c are i...

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  19. If p1,p2,p3 are the lengths of the altitudes ofa tringle from the ver...

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  20. If a^(2), b^(2), c^(2) are in A.P., then : (cos A)/a, (cos B)/b, (co...

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