Home
Class 10
MATHS
Bisector of angleB" and "angle C " in "D...

Bisector of `angleB" and "angle C " in "DeltaABC` meet each other at P. Line Ap cuts the side BC at Q. Then prove that : `(AP)/(PQ)=(AB+BC)/(BC)`

Text Solution

Verified by Experts

The correct Answer is:
`therefore(AP)/(PQ)=(AB+AC)/(BC)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Theorem of Pythagoras|7 Videos
  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Circle|9 Videos
  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Statistics|4 Videos
  • ARITHMETIC PROGRESSION

    CHETAN PUBLICATION|Exercise ASSIGENMENT -3|10 Videos
  • CIRCLE

    CHETAN PUBLICATION|Exercise Assignment - 3 (Solve any two of the following questions):|3 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure bisectors of angleBand angleC intersect each other in point X. Line AX intersects side BC in point Y. AB=5, AC=4, BC=6 "then find" (AX)/(XY) .

The internal bisector of angle A of Delta ABC meets BC at D and the external bisector of angle A meets BC produced at E. Prove that (BD)/(BE) = (CD)/(CE) .

In the adjoint figure, AD is the bisector of the exterior angleA" of "DeltaABC. Seg AD intersects the side BC produced in D. Prove that : (BD)/(CD)=(AB)/(AC)

In squareABCD, "seg " AD||"seg " BC. Diagonal AC and diagonal BC intersect each other in point P. Then show that (AP)/(PD)=(PC)/(BP)

ABCD is quadrilateral with AB parallel to DC. A line drawn parallel to AB meets AD at P and BC at Q. prove that (AP)/(PD) = (BQ)/(QC)

In DeltaABC, ray BD bisects angleABC,A-D-C, Side DE|| Side BC. A-E-B. then prove that AB:BC=AE:EB

In DeltaABC ray BD bisects angleABC " "A-D-C,"side DE || side BC" A-E-B "then prove",(AB)/(BC)=(AE)/(EB)

Let P be an interior point of a triangle ABC and AP, BP, CP meet the sides BC, CA, AB in D, E, F, respectively. Show that (AP)/(PD)=(AF)/(FB)+(AE)/(EC) .

In the figure , in DeltaABC , point D on side BC is such that , DeltaBAC~=DeltaADC then prove that , CA^(2)-=CBxxCD .

In A B C , the bisector of the angle A meets the side BC at D andthe circumscribed circle at E. Prove that D E=(a^2secA/2)/(2(b+c))