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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

Text Solution

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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)
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  3. Find the second order derivative of the function x.cosx

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  4. Differentiate the following w.r.t x (x + 3)^2 . (x + 4)^3

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  5. Find the second order derivative of the function x^(6) + 2

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  6. Given an isoceles triangle with equal side of length b and angle alpha...

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  7. There can exist a triangle ABC satisfying the condition (sin A)/(2) =(...

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  8. Find (d^2y)/dx^2 , if y = logx

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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. Find second order derivative of the function sin^(-1)x

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  11. Let 'l' is the length of medians 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+2ac Then a...

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

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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 triangle ABC, R = circumradius and P = AH +...

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

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