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In triangle A B C ,ifPdotQ ,R divides si...

In triangle `A B C ,ifPdotQ ,R` divides sides`B C ,A C ,` and `A B ,` respectively, in the ratio `k :1(inor d e r)dot` If the ratio `((a r E A P Q R)/(a r e a A B C))` IS `1/3,t h e nk` is equal to `1/3` (b) 2 (c) 3 (d) none of these

A

`1/3`

B

2

C

3

D

None of these

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ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. about to only mathematics

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  2. Let a,b,c be the sides of a triangle. Now two of them are equal to lam...

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  3. In triangle A B C ,ifPdotQ ,R divides sidesB C ,A C , and A B , respec...

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  4. Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a ...

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  5. In an ambiguoa ambiguous case of solving a triangleshen a = sqrt5,b =...

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  6. If R(1) is the circumradius of the pedal triangle of a given triangle ...

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  7. If in a triangle (1-(r1)/(r2))(1-(r1)/(r3))=2 then the triangle is rig...

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  8. If the median AD of a triangle ABC makes an angle theta with side, AB,...

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  9. In a Delta ABC, angles A, B, C are in AP. If f(x) = underset(A rarr c)...

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  10. In Delta ABC, (a + b+ c) (b + c -a) = kbc if

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  11. In DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B)), prove ...

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  12. In a DeltaABC, sides a,b,c are inAP and (2)/(1!9!)+(2)/(3!7!)+(1)/(5!5...

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  13. If a, b,c be the sides of a triangle ABC and if roots of equation a(b-...

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  14. The ratio of the area of a regular polygon of n sides inscribed in a c...

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  15. In any triangle ABC sum (sin^2A+sinA+1)/sinA is always greater than or...

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  16. If the incircel of the triangle ABC, through it's circumcentre, then t...

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  17. The perimeter of a triangle ABC is saix times the arithmetic mean of ...

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  18. If there are only two linear functions f and g which map [1,2] on [4,6...

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  19. A circle is inscribed in an equilateral triangle of side adot The area...

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  20. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

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