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In a triangle `ABC, (asinB+bsinA)/(sqrt(sinAsinB))=4, angleC=pi/3 " then " a^2+b^2-c^2=`

A

4

B

6

C

8

D

10

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ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (2)(MULTIPLE CHOICE QUESTIONS)
  1. In a !ABC , if 1/(b+c)+1/(c+a)=3/(a+b+c), then angleC=

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  2. If cos A= (sinB)/(2 sinC), " then " Delta ABC is

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  3. In a triangle ABC, (asinB+bsinA)/(sqrt(sinAsinB))=4, angleC=pi/3 " the...

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  4. In a triangle, the lengths of the two larger sides are 10 and 9, re...

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  5. With usual notations, if in a triangle ABC (b+c)/(11) = (c+a)/(12) = ...

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  6. In a triangle ABC, a^4 +b^4 +c^4 = 2(a^2 +c^2)b^2 then the angle B is

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  7. In a triangle ABC ,a^2 cos^2 A=b^2+c^2, then

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  8. If in a triangle sin^4 A+sin^4 B + sin^4 C = sin^2 B sin^2 C+2 sin^2 C...

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  9. If A=60^@, " then " b/(c+a)+c/(a+b) =

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  10. The sides of a triangle are three consecutive natural numbers and its ...

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  11. If D id the mid-point of the side BC of a triangle ABC and AD is perpe...

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  12. Prove that ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=sin^2A

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

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  14. If a triangle ABC, D is the mid point of side BC and angleADB =theta "...

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  15. The straight roads intersect at an angle of 60°. A bus on one road is ...

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  16. If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in ...

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  17. If the anngle A,B,C of a Delta ABC are in A.P then :-

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  18. If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2, then the sides...

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  19. In any DeltaABC, prove that (a-b)^(2)cos^(2)""C/2+(a+b)^(2)sin^(2)""C/...

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  20. If cos A+cos B+2cos C=2 then the sides of the A B C are in A.P. (b) G...

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