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Consider a triangle `A B C` and let `a , b and c` denote the lengths of the sides opposite to vertices `A , B ,and C` , respectively. Suppose `a=6,b=10 ,` and the area of triangle is `15sqrt(3)dot` If `/_A C B` is obtuse and if `r` denotes the radius of the incircle of the triangle, then the value of `r^2` is

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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Prove that 2sin^2(pi/6) - sec^2(pi/3)= -7/2

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  2. In a triangle the sum of two sides is x and the product of the same is...

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  3. Consider a triangle A B C and let a , b and c denote the lengths of th...

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  4. Solution of differential equation 2xy dy / dx = x^2 + 3y^2 is .

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  5. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

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  6. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

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  7. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

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  8. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  9. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

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  10. A straight line through the vertex P of a triangle P Q R intersects th...

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  11. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  13. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  14. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

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  15. One angle of an isosceles triangle is 120^0 and the radius of its incr...

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  16. In Delta ABC, which one is true among the following ?

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  17. Let a vertical tower A B have its end A on the level ground. Let C be ...

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  18. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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  19. For a regular polygon, let r and R be the radii of the inscribed and t...

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  20. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

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