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In the DeltaABC, if (a ^(2) +b^(2))sin ...

In the `DeltaABC, ` if `(a ^(2) +b^(2))sin (A-B) =(a^(2) -b^(2)) sin (A+B).` Prove that the triangle is either isosceles or right angled.

A

either isosceles or right angled

B

only right angled

C

only isosceles triangle

D

None of the above

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The correct Answer is:
A
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
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  2. In a Delta ABC, (a+b+c) (b+c-a)=lamdabc, if

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  3. In the DeltaABC, if (a ^(2) +b^(2))sin (A-B) =(a^(2) -b^(2)) sin (A+B...

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  4. Differentiate the following w.r.t x (5x)^(3cos2x)

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  6. The ratio of the area of a regular polygon of n sides inscribed in a c...

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  7. In any triangle ABC sum (sin^2A+sinA+1)/sinA is always greater than or...

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  8. If the incircel of the triangle ABC, through it's circumcentre, then t...

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  9. The perimeter of a triangle ABC is six times the arithmetic mean of ...

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  10. If there are only two linear functions f and g which map [1,2] on [4,6...

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  11. A circle is inscribed in an equilateral triangle of side adot The area...

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  12. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

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  13. In a DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B) is a solution...

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  14. Differentiate the following w.r.t x sin^(-1)(x^(3/2))

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  15. If a,b and c arethe sides of a traiangle such that b.c =lamda ^(2), th...

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  16. Differentiate the following w.r.t x cos(acosx + bsinx) , for som...

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  17. In triangle ABC, a=5, b=4 and cos(A+B)=(31)/(32) In this triangle,c=

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  18. In a A B C ,ifA B=x , B C=x+1,/C=pi/3 , then the least integer value ...

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  20. Differentiate the following w.r.t x 2x^((x^4-3))

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