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In Delta ABC, D and E are points on the ...

In `Delta ABC`, D and E are points on the sides AB and AC respectively such that `DE||BC`
(i) If `(AD)/(DB)=(3)/(4)` and AC=15 cm find AE.
(ii) If AD=8x-7, DB=5x-3, AE= 4x-3 and EC=3x - 1, find the value of x.

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The correct Answer is:
(i) x = 6.43 (ii)x = 1
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FULL MARKS-GEOMETRY-EXERCISE 4.2
  1. In Delta ABC, D and E are points on the sides AB and AC respectively s...

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  2. ABCD is a trapezium in which AB||DC and P,Q are points on AD and BC re...

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  3. In Delta ABC, D and E are points on the sides AB and AC respectively. ...

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  4. In fig. if PQ||BC and PR||CD prove that (i) (AR)/(AD)=(AQ)/(AB) (ii)...

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  5. Rhombus PQRS is inseribed in Delta ABC such that angle B is one of its...

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  6. In trapezlum ABCD, AB || DC, E and F are points on non-parallel sides ...

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  7. In figure DE|| BC and CD||EF. Prove that AD^(2)=AB xx AF.

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  8. In a Delta ABC , AD is the bisector of angle A meeting side BC at D, i...

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  9. Check whether AD is bisector of angle A " of " Delta ABC in each of th...

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  10. In figure angle QPC=90^(@), PS is its bisector. If ST bot PR, prove th...

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  11. ABCD is a quadrilateral in which AB= AD, the bisector of angle BAC an...

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  12. Construct a trianglePQR in which the base PQ=4.5 cm, angleR=45^(@) and...

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  13. Construct a Delta PQR in which QR= 5 cm, P=40^(@) and the median PG fr...

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  14. Construct a Delta PQR such that QR= 6.5 cm, angle P= 60^(@) and the al...

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  15. Construct a Delta ABC such that AB = 5.5 cm, angle C = 25^(@) and the ...

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  16. Draw a triangle ABC of base BC = 5.6 cm, angle A = 40^(@) and the bise...

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  17. Draw Delta PQR such that PQ=6.8 cm, vertical angle is 50^(@) and the b...

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