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If p(1),p(2),p(3) are altitude of a tria...

If `p_(1),p_(2),p_(3)` are altitude of a triangle ABC from the vertices A,B,C and `Delta` the area of the triangle, then `(1)/(p_(1)^(2))+(1)/(p_(2)^(2))+(1)/(p_(3)^(2))=`

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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-HARDER SOLVED EXAMPLES
  1. If /\ PQR is right-angled at R and tan P/2, tan Q/2 are the roots of t...

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  2. If, in a /\ABC, it is given that a^(2), b^(2), c^(2) are in an A.P., s...

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  3. If p(1),p(2),p(3) are altitude of a triangle ABC from the vertices A,B...

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  4. Triangle ABC is isosceles with AB = AC. If the radius of the cicum-cir...

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  5. If H is the orthocenter of DeltaABC and if AH = x, BH = y, CH = z, t...

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  6. In any triangle A B C , prove that: a^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B...

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

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  8. If, in a /\PQR, right angled at R, tan (P/2) and tan (Q/2) are the r...

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  9. If, in Delta ABC, angle A,B,C are in A.P. And b : c = sqrt(3) : sqrt(2...

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  10. If in a triangle ABC, a=1+sqrt(3)cm,b=2 cm and angleC=60^(@) , then fi...

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  11. If the sides of a triangle are in the ratio 1 : sqrt(3) : 2, then its ...

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  12. If the angles of a triangle are in the ratio 4 : 1: 1, then the ratio ...

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  13. The perimeter of atriangle ABC is 6 times the arihmetic mean of the si...

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  14. A triangle park is enclosed on two sides by a fence and, on the third ...

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  15. If the radius of the circum-circle of an isosceles triangle PQR is equ...

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  16. In /\ABC, if 3 a=b + c, then cot(B/2) \ cot(C/2) =

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  17. In a /\ABC, if A,B,C are in A.P., then: a/c (sin 2C) + c/a (sin 2A) ...

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  18. If cos^(-1) x + cos^(-1) y + cos^(-1) z = pi" , prove that " x^(2) + ...

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  19. If cos^(-1)(x/a) + cos^(-1) (y/b) = alpha show that : (x^2)/(a^2) - (...

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  20. Prove that tan{(pi)/4 + 1/2 Cos^(-1)((a)/(b))}+tan{((pi)/4-1/2 Cos^(-1...

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