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If cos ^(2) A + cos ^(2) B = cos ^(2) ...

If ` cos ^(2) A + cos ^(2) B = cos ^(2) C = 1 ` then show that ` Delta ABC ` is right angled

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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - 9.1 ( LONG ANSWER QUESTIONS)
  1. b^(2) sin 2C + C^(2) sin 2B = 2 b sin A

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Two ships leave a port at the same time . One goes 24km per hour in th...

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  17. A tree stands vertically on the slant of the hills From a point A on t...

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  18. The upper 3//4^(th) portion of a vertical pole subtends an angle "Tan"...

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  19. AB is a vertical pole with B at the ground level and and A at the top ...

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  20. Let an object be placed at some height h cm and let p and Q be two poi...

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