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In which of the following situations, it...

In which of the following situations, it is possible to have `a DeltaABC` ?
(All symbols used have usual meaning in a triangle)

A

` (a+c-b) (a-c+b) =4bc`

B

`b^(2)sin 2C+cos ^(2)sin2B=ab`

C

`a=3,b=5, c=7 and C =(2pi)/(3)`

D

`cos ((A-C)/(2))=cos ((A+C)/(2))`

Text Solution

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The correct Answer is:
B, C
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (More Than One Correct Option Type Questions)
  1. In Delta ABC,If ac =3, bc=4 and (A-B) =3/4, then

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  2. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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