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There exists triangle ABC satisfying...

There exists triangle ABC satisfying

A

`tan A+tanB+tan C=0`

B

`(sinA)/2 = (sinB)/3 = (sinC)/7`

C

`(a+b)^2=c^2+ab and sqrt2 (sinA+cosA)=sqrt3`

D

`sinA+sinB=(sqrt3+1)/2 , cos A cos B = (sqrt3)/4 = sin A sinB`

Text Solution

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The correct Answer is:
C, D
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ML KHANNA-PROPERTIES OF TRIANGLES -Self Assessment Test (Multiple Choise Questions)
  1. There exists triangle ABC satisfying

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  2. If in Delta ABC, (a -b) (s-c) = (b -c) (s-a), prove that r(1), r(2), r...

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  3. If r1,r2 ,r3 are in H.P. then the sides are in

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  4. If P1, P2, P3 be the perpendiculars from the vertices of a triangle to...

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  5. If p(2),p(2),p(3) are the perpendiculars from the vertices of a triang...

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  6. Prove that a cos A + b cos B + c cos C = 4 R sin A sin B sin C.

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  7. r2 r3 + r3 r1 + r1 r2 =S^2 // r^2, true or false?

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  8. If a triangle of maximum area is inscribed within a circle of radius R...

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  9. If the sides of a triangle are in A.P. as well as in G.P., then the va...

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  10. Two sides of a triangle are the roots of the equation x^2 - 5x +6=0. I...

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  11. If r1, lt r2, lt r3 are the ex-radii of a right angled triangle and r1...

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  12. Given an isoceles triangle, whose one angle is 120^@ and radius of its...

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  13. AD is internal angle bisector of DeltaABC " at " angleA and DE perpend...

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  14. Consider a triangle ABC and let a , b , and c denote the lengths of t...

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  15. In triangleABC, if a^(2)+c^(2)-b^(2)=ac, then angleB=

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  16. In Delta ABC if a= 16 , b= 24 and c = 20 then cos (B/2)

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  17. In Delta ABC, cscA (sin B cos C + cos B sin C) =

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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 triangleABC, If the anlges are in A.P., and b:c=sqrt(3):sqrt(2), t...

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  20. If the angles of a triangle are in the ratio 2 : 3 : 7 ,then the sides...

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  21. If in a right angled triangle the hypotenuse is four times as long as ...

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