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Internal bisector of /A of triangle ABC ...

Internal bisector of `/_A` of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and the side AB at F. If a, b, c represent sides of `DeltaABC`, then

A

AE is HM of b and a

B

`AD=(2bc)/(b+c)cos ""A/2`

C

`EF=(4bc)/(b+c) sin ""A/2`

D

`Delta AEF` is isosceles

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The correct Answer is:
A, B, C, D
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ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
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  2. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

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  3. about to only mathematics

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  4. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

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  5. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

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  6. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

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  7. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  8. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

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  9. A straight line through the vertex P of a triangle P Q R intersects th...

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  10. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  11. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  13. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

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  14. One angle of an isosceles triangle is 120^0 and the radius of its incr...

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  15. In Delta ABC, which one is true among the following ?

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  16. Let a vertical tower A B have its end A on the level ground. Let C be ...

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  17. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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  18. For a regular polygon, let r and R be the radii of the inscribed and t...

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  19. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

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  20. If in a DeltaABC, the altitudes from the vertices A, B, C on opposite ...

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