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If in a Delta PQR, sin P, sin Q , sin R...

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

A

the altitudes are in A.P.

B

the altitudes are in H.P.

C

the altitudes are in G.P.

D

none of these

Text Solution

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The correct Answer is:
B
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ML KHANNA-PROPERTIES OF TRIANGLES -Self Assessment Test (Multiple Choise Questions)
  1. In Delta ABC if a= 16 , b= 24 and c = 20 then cos (B/2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If R is the radius of the circumcircle of the Delta ABC and Delta is ...

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  18. In a triangle ABC if b=2,B=30^@ then the area of the circumcircle of ...

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  19. For a regular polygon let r and R be radii of the inscribed and the ci...

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  20. The x -coordinate of the incentre of the triangle that has the coordin...

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