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PQR is a triangle right-angled at Q. If ...

PQR is a triangle right-angled at Q. If X and Y are the mid-points of the sides PQ and QR respectively, then which one of the following is not correct?

A

`RX^(2)+PY^(2)=5XY^(2)`

B

`RX^(2)+PY^(2)=XY^(2)+PR^(2)`

C

`4(RX^(2)+PY)^(2)=5PR^(2)`

D

`RX^(2)+PY^(2)=3(PQ^(2)+QR^(2))`

Text Solution

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The correct Answer is:
C
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LUCENT PUBLICATION-CONGRUENCE AND SIMILAR TRIANGLES -EXERCISE-5A
  1. In DeltaABC line PQ is drawn parallel to side BC where P and Q are res...

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  2. ABC is a triangle right-angled at B and D is a point on BC produced (B...

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  3. PQR is a triangle right-angled at Q. If X and Y are the mid-points of ...

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  4. In the figure given below, what is the value of x. It is given that ...

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  5. If sides of a triangle are 20 cm, 16 cm and 13 cm, then which one of t...

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  6. DeltaABC and DeltaDEF are similar such that (AB)/(DE)=(BC)/(EF). Area ...

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  7. In DeltaABC, angleA=90^(@). From point A, perpendicular AD is drawn to...

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  8. In DeltaABC, DE||BC where D and E are respectively lie on AB and AC an...

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  9. The points D and E are taken on the sides AB and AC of DeltaABCsuch th...

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  10. In Delta ABC, AD is the internal bisector of /A, meeting the side BC a...

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  11. A straight line parallel to the base BC of the triangle ABC intersects...

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  12. D is any point on side AC of DeltaABC. If P,Q, X, Y are the mid points...

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  13. In Delta ABC, PQ is parallel to BC. If AP : PB = 1 : 2 and AQ = 3 cm, ...

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  14. A line parallel to side BC of DeltaABC meets AB and AC respectively at...

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  15. ABC is an equilateral triangle. P and Q are two points on bar(AB) and ...

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  16. In DeltaABC, XY is parallel to BC and it divides the triangle into two...

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  17. In triangle DeltaABC, points E and F lie on sides AB and AC such that ...

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  18. Point D and E respectively lie on the sides AB and AC of a triangle su...

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  19. If ratio of area of two similar triangles are 16:9 then ratio of perim...

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  20. If area of two similar triangle are equal then ratio of their correspo...

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