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Let PQR be a triangle of area Delta wi...

Let PQR be a triangle of area `Delta ` with `a = 2, b = 7//2 , " and " c = 5//2`, where a, b, and c are the lengths of the sides of the triangle opposite to the angles at P, Q, and R, respectively. Then `(2 sin P - sin 2P)/(2 sin P + sin 2P)` equals

A

`3/(4Delta)`

B

`(45)/(4 Delta)`

C

`(3/(4 Delta))^(2)`

D

`(45/(4 Delta))^(2)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - II(Straight Objective Type Questions)
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  2. In DeltaABC,(cot(A//2)+cot(B//2)+cot(C//2))/(cotA+cotB+cotC)=

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

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  4. If the sides of a triangle are in A.P. and difference between the grea...

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  5. The sides of triangle are 4,5,6 then area is

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  6. If the area os an isosceles triangle is sqrt2 + 1 and vertical angle i...

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  7. In a Delta ABC , median AD and BE are drawn . If AD = 4, angle DAB = ...

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  8. In triangle ABC, medians AD and CE are drawn. If AD = 5, angle DAC = p...

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  9. The altitudes from the angular points A, B and C on the opposite sides...

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  10. In triangle ABC, if P, Q, R divides sides BC, AC, and AB, respectively...

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  11. ABC is a triangle, P is a point on AB and Q is a point on AC such that...

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  12. The distance from a point A to a line BC is 3. Two lines L and L' para...

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  13. ABCD is a square. P is a point inside the square such that PA = 3, PB ...

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  14. Two equilateral triangles are constructed from a line segment of lengt...

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  15. In a Delta^("le") ABC, point E is on bar(AB) so that AE = 1/2 (EB) . I...

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  16. The area of an equilateral triangle containing in its interior a point...

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  17. If a^(2) + b^(2) + c^(2) = 8 R^(2), then the triangle is

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  18. In a Delta ABC " if " a^(2) sin (B - C) + b^(2) sin (C - A) + c^(2) s...

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  19. If for DeltaABC, cotA cotB cotC gt0 then the triangle is

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  20. In Delta ABC, if cos A+cos B+ cos C=3//2, then the triangle is

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