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If in DeltaABC, A =90^(@) and c, sin B a...

If in `DeltaABC, A =90^(@)` and c, sin B and cos B are rational number, then

A

a is rational

B

a is irrational

C

b is rational

D

b is irational

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The correct Answer is:
A, C
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (More Than One Correct Option Type Questions)
  1. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then

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  2. In which of the following situations, it is possible to have a DeltaAB...

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  3. In a triangle ABC, let BC = 1, AC=2 and measure of angle C is 30°. Wh...

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  4. 6. Let one angle of a triangle be 60°, the area of triangle is 10/3 an...

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  5. In a triangle ABC, if a=4,b=8,/C=60^@, then which of the following rel...

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  6. Given an isosceles triangle with equal sides of length b, base angle a...

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  7. There can exist a triangle ABC satisfying the conditions :

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  8. Let a,b,c be the sides of triangl whose perimeter is P and area is A, ...

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  9. If in DeltaABC, A =90^(@) and c, sin B and cos B are rational number, ...

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  10. In Delta ABC, which of the followinhg statemnts are ture

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  11. Let 'l' is the length of median from the vertex A to the side BC of a ...

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  12. If A,A1,A2 and A3 are the areas of the inscribed and escribed circles ...

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  13. If a, b, A be given in a triangle and c1 and c2 be two possible value ...

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  14. D,E and F are the middle points of the sides of the triangle ABC, then

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  15. The sides of A B C satisfy the equation 2a^2+4b^2+c^2=4a b+2a cdot Th...

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  16. If represents the area of acute angled triangle ABC, then sqrt(a^2b^2...

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  17. In triangle, A B Cif2a^2b^2+2b^2c^2=a^2+b^4+c^4, then angle B is equal...

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  18. If H is the orthocentre of the triangle ABC, R = circumradius and P =A...

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  19. If inside a big circle exactly n(nlt=3) small circles, each of radius ...

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  20. If in triangle ABC, a, c and angle A are given and c sin A lt a lt c, ...

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