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In DeltaABC" show that "suma^(3)cos(B-C...

In `DeltaABC" show that "suma^(3)cos(B-C)=3abc`

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If p_(1),p_(2),p_(3) are altitudes of a DeltaABC then show that P_(1)P_(2)P_(3)=((abc)^(2))/(8R^(3))=(8Delta^(3))/(abc)

If P_(1),P_(2),P_(3) are altitudes of a DeltaABC then show that P_(1)P_(2)P_(3)=((abc)^(2))/(8R^(3))=(8Delta^(3))/(abc)

In DeltaABC show that (b^(2)-c^(2))/(a^(2))=(sin(B-C))/(sin(B+C))

In DeltaABC , show that the sides a, b, c are in A.P ., if and only if r_(1),r_(2),r_(3) are in H.P

If c^(2) ne ab and the roots of (c^(2)-ab)x^(2)-2(a^(2)-bc)x+(b^(2)-ac)=0 are equal, then show that a^(3)+b^(3)+c^(3)=3abc" or "a=0

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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - 9.1 ( LONG ANSWER QUESTIONS)
  1. If C = 60 ^(@) then show that (b)/( c^(2) -a^(2)) + (a)/( c^(2) ...

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  2. In DeltaABC, " if" (1)/(a+c)+(1)/(b+c)=(3)/(a+b+c) then show that C=...

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  3. In DeltaABC" show that "suma^(3)cos(B-C)=3abc

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  4. a^(2) cot A + b^(2) cot B + c^(2) cot C "" ( abc)/( R)

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  5. a cos ^(2) "" ( A) /(2) + b cos ^(2) "" ( B)/(2) = c cos ^(2) "" ( C...

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  6. b^(2) sin 2C + C^(2) sin 2B = 2 b sin A

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  7. In a /\ABC if a^(2)+b^(2)+c^(2)=8R^(2) then show that/\ABC is a right ...

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  8. If cos ^(2) A + cos ^(2) B = cos ^(2) C = 1 then show that Delta A...

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  9. If cot.(A)/(2)=(b+c)/(a) find angle B

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  10. Show that cot ""(A)/(2) + cot "" ( B)/(2) + cot "" ( C ) /(2)...

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  11. In DeltaABC,(cot(A//2)+cot(B//2)+cot(C//2))/(cotA+cotB+cotC)=

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  12. Prove that tan.(A)/(2)+tan.(B)/(2)+tan.(C)/(2)=(bc+ca+ab-s^(2))/(Delta...

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  13. In DeltaABC show that (a+b+c)(tan.(A)/(2)+tan.(B)/(2))=2cot.(C)/(2)

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  14. If sin theta = a/(b+c) then show that cos theta = (2sqrt(bc))/(b+c) co...

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  15. If a = (b-c) "sec" theta, then prove that tan theta = (2sqrt(bc))/(b-c...

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  16. If cot.(A)/(2)+cot.(B)/(2)+cot.(C)/(2) are in A.P , then prove that a,...

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  17. If tan ""(A)/(2) = (5)/(6) , tan "" (B)/(2) = ( 20 )/( 37) then s...

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  18. If cot A/2:cot"" B/2: cot"" C/2 = 3:5:7 then show that a:b:c = 6:5:4.

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  19. IF p1,p2,p3 are the lengths of the altitudes of a triangle from the ve...

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  20. If p1 , p2 , p3 are the altitudes drawn from the vertices A,B, C of ...

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