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In triangle ABC, if P, Q, R divides side...

In triangle ABC, if P, Q, R divides sides BC, AC, and AB, respectively, in the ratio k:1 (in order). If the ratio `(( "area "Delta PQR)/("area " Delta ABC)) " is " 1/3` then k is equal to

A

`1//3`

B

2

C

3

D

none of these

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - II(Straight Objective Type Questions)
  1. In a Delta ABC , median AD and BE are drawn . If AD = 4, angle DAB = ...

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  2. In triangle ABC, medians AD and CE are drawn. If AD = 5, angle DAC = p...

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  3. The altitudes from the angular points A, B and C on the opposite sides...

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  4. In triangle ABC, if P, Q, R divides sides BC, AC, and AB, respectively...

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  5. ABC is a triangle, P is a point on AB and Q is a point on AC such that...

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  6. The distance from a point A to a line BC is 3. Two lines L and L' para...

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  7. ABCD is a square. P is a point inside the square such that PA = 3, PB ...

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  8. Two equilateral triangles are constructed from a line segment of lengt...

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  9. In a Delta^("le") ABC, point E is on bar(AB) so that AE = 1/2 (EB) . I...

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  10. The area of an equilateral triangle containing in its interior a point...

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  11. If a^(2) + b^(2) + c^(2) = 8 R^(2), then the triangle is

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  12. In a Delta ABC " if " a^(2) sin (B - C) + b^(2) sin (C - A) + c^(2) s...

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  13. If for DeltaABC, cotA cotB cotC gt0 then the triangle is

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  14. In Delta ABC, if cos A+cos B+ cos C=3//2, then the triangle is

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  15. In Delta ABC , if tan A + tan B + tan C =3 sqrt3 then the triangle ...

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  16. The set of all numbers a such that a^(2) + 2a, 2a + 3 " and " a^(2) + ...

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  17. Delta^("le") ABC is an Isoscels with AC = CB angle ABD = 60^(@) , angl...

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  18. Let A, B C be three angles such that A = pi/4 and tan B tan C = p. Set...

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  19. Tangents are parallel to 3-sides are drawn to the incirlee. If x, y, z...

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  20. In a triangle ABC, AC = 3 , BC = 4 and cos (A - B) = 3//4 then

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