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Consider a triangle ABC and let a , b , and c denote the lengths of the sides opposite to vertices A , B and C respectively. suppose a = 6 , b = 10 and the area of the triangle is `15sqrt3`. If `angleACB` is obtuse and if r denotes the radius of the in circle of the triangle , then `r^(2)` is equal to

A

3

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4

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5

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1

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ML KHANNA-PROPERTIES OF TRIANGLES -Self Assessment Test (Multiple Choise Questions)
  1. Given an isoceles triangle, whose one angle is 120^@ and radius of its...

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

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

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

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

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

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

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

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

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

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  11. If the lengths of the sides of a triangle are 3, 5, 7, then its larges...

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  12. In a triangle ABC, right angled at C, find the value of tan A + tan B ...

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  13. The smallest angle of the DeltaABC, when a=7,b=4sqrt(3)andc=sqrt(13) i...

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  14. If in a DeltaABC, cos B = (sin A)/(2 sin C), then the triangle is

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  15. Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

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  16. If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)(s-c) is equal to

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  17. In a triangle PQR, angleR = pi //2. If tan (P/2) and tan (Q/2) are th...

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  18. If in a Delta PQR, sin P, sin Q , sin R are in AP, then:

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  19. In DeltaABC if (sinA)/(sinC)=(sin(A-B))/(sin(B-C)), then a^(2), b^(2)...

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  20. Let PQR be a triangle of ! area with a = 2 , b = 7/2 and c = 5/2, wher...

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