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If Delta represents the area of acute an...

If ```Delta` represents the area of acute angled triangle ABC, then `sqrt(a^2b^2-4Delta^2)+sqrt(b^2c^2-4Delta^2)+sqrt(c^2a^2-4Delta^2)=` (a) `a^2+b^2+c^2` (b) `(a^2+b^2+c^2)/2` (c) `a bcosC+bc cosA+c acosB` (d) `a bsinC+b csinA+c asinB`

A

`(a^(2) +b^(2)+c^(2)`

B

`(a ^(2)+ b^(2)+c^(2))/(2)`

C

`ab cos C + bc cos A+ ca cos B`

D

` ab sin C+ bc sin A +ca sin B`

Text Solution

Verified by Experts

The correct Answer is:
B, C
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ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (More Than One Correct Option Type Questions)
  1. In Delta ABC, If a =4, b=3 and COS(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 / C is 30^@. Which ...

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  5. Let one angle of a triangle be 60°, the area of triangle is 10sqrt3and...

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

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

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