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If ( a^(2) + b^(2))/( a^(2) - b^(2)) = (...

If `( a^(2) + b^(2))/( a^(2) - b^(2)) = ( sin C)/( sin (A- B)) ` then triangle ABC is

A

Scalene

B

Equilateral

C

Isosceles

D

Right angled

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The correct Answer is:
D
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - 1
  1. If a = 40 , c= 40 sqrt3, B = 30 ^(@) then nature of triangle is

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  2. In DeltaABC, " if " cos A=( sin B)/( 2 sin C) , then the triangle is

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  3. If ( a^(2) + b^(2))/( a^(2) - b^(2)) = ( sin C)/( sin (A- B)) then tr...

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  4. sum (b^(2) -c^(2))/( a^(2)) sin ^(2) A =

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  5. sum (a^(2) sin ( B- C ))/( sin B+ sin C) =

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  6. In Delta ABC, sum a^2 (cos^2 B-cos^2 C)=

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  7. In Delta ABC, sum (a+b) tan ((A-B)/2)=

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  8. If a = 13, b = 14 , c= 15 then r=

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  9. In Delta ABC Prove that cos A + cos B+ cos C =1 + ( r ) / ( R )

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  10. In Delta ABC Prove that sin ^(2) "" (A)/(2) + sin ^(2) ""(B) /(2...

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  11. ( a cos A + b cos B + c cos C )/( a +b +c ) =

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  12. ( a cot A + b cot B + c cot C )/( a + b+ c)

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  13. In Delta ABC , ( a )/( tan A) + ( b)/( tan B) + ( c )/( tan C) =

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

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  15. In triangle ABC if p1, p2, p3 are the length of the altitudes from A, ...

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

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  17. In Delta ABC if I is the incentre then the ratio IA : IB : IC is

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  18. If A1 , A2 , A3 are areas of excircles, A is the area of incircle of ...

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  19. If I is the incentre , A= 60 ^(@) then AI =

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  20. ( r1)/( (s.b) (s.c) )

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