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In the triangle ABC, if (a^(2)+b^(2)) si...

In the triangle ABC, if `(a^(2)+b^(2)) sin (A-B)=(a^(2) -b^(2)) sin (A+B),` then the triangle is

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 triangle ABC, (a+b+c)(b+c-a)=lambdabc if

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

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  4. In a DeltaABC, sides a,b,c are inAP and (2)/(1!9!)+(2)/(3!7!)+(1)/(5!5...

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  5. If a, b,c be the sides foi a triangle ABC and if roots of equation a(b...

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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 saix 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. A triangle is inscribed in a circle. The vertices of the triangle divi...

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  15. If a,b and c are the sides of a traiangle such that b.c =lamda ^(2), t...

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  16. In a triangle ABC, AD is the altitude form- abcA (Fig. 12.9). Given b...

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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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  19. In an equilateral triangle, three coins of radii 1 unit each are kept ...

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  20. The sides of a triangle are in AP. If the angles A and C are the great...

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