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In DeltaABC, if 2b =a+ c and A-C=90^(@),...

In `DeltaABC,` if `2b =a+ c and A-C=90^(@),` then sin B equal
All symbols used have usual meaning in `Delta ABC.]`

A

` (sqrt7)/(5)`

B

`(sqrt5)/(8)`

C

`(sqrt7)/(4)`

D

`(sqrt5)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. In a Delta ABC, if angle C =105^(@), angleB=45^(@) and length of side ...

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  2. If P is a point on the altitude AD of the Delta ABC such that angle CB...

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  3. In DeltaABC, if 2b =a+ c and A-C=90^(@), then sin B equal All symbol...

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  4. Let ABC be a right triangle with length of side AB=3 and hyotenus AC=5...

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  5. Two medians draen form the acute angles of a right angled triangle int...

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  6. If in a right angle DeltaABC,4 sin A cos B-1 =0 and tan A is finite, t...

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  7. Let A=[{:(a,b,c),(p,q,r),(1,1,1):}]and B=A^(2) If (a-b)^(2) +(p-q)^(...

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  8. If in a DeltaABC, the incricle passing through the point of intersecti...

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  9. If two sides of a triangle are roots of the equation x^2-7x+8=0 and th...

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  10. If median AD of a triangle ABC makes angle (pi)/(6) with side BC, then...

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  11. If the perimeter of the triangle formed by feet of altitudes of the t...

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  12. In a triangle with one angle (2pi)/(3), the lengths of the sides form ...

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  13. Sides of triangle ABC are in A.P. if a < min {b, c} then cos A is equ...

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  14. The product of the sines of the angles of a triangle is p and the prod...

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  15. Let C be incircle of DeltaABC. If the tangenst of lengths t(1), t(2) a...

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  16. If the sine of the angles of DeltaABC satisfy the equation c^(3)x^(3)-...

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  17. The rational number which equals the number 2. 357 with recurring de...

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  18. In a triangle ABC, a ge b ge c. If (a^(3)+b^(3)+c^(3))/(sin ^(3)A +s...

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  19. A triangle ABC exists such that

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  20. In a delta ABC, a,c, A are given and b(1) , b(2) are two values of thi...

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