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In a right angled DeltaABC, angleC=90^(@...

In a right angled `DeltaABC, angleC=90^(@) and CD` is the perpendicular on the hypotenuse `AB, AB = c, BC = a, AC = b and CD = p`, then :

A

`(p)/(q)=(p)/(b)`

B

`(1)/(p^(2))+(1)/(b^(2))=(1)/(a^(2))`

C

`p^(2)=b^(2)+c^(2)`

D

`(1)/(p^(2))=(1)/(a^(2))+(1)/(b^(2))`

Text Solution

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The correct Answer is:
D
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ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.2
  1. In the adjoining figure angleBAC=60^(@) and BC = a, AC = b and AB = c,...

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  2. In the adjoining figure of DeltaABC, angleBCA=120^(@) and AB = c, BC =...

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  3. In a right angled DeltaABC, angleC=90^(@) and CD is the perpendicular ...

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  4. If the medians of a triangle are equal, then the triangle is

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  5. The incentre of a triangle is determined by the :

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  6. The circumcentre of a triangle is determined by the :

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  7. The point of intersection of the angle bisectors of a triangle is :

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  8. The diagonal of the square field measures 50m. The area of square fiel...

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  9. If in a DeltaABC,'S' is the circumcentre then :

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  10. If AD, BE, CF are the altitudes of DeltaABC whose orthocentre is H, th...

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  11. In a right angled DeltaABC, angleC=90^(@) and CD is the perpendicular ...

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  12. In an equilateral triangle ABC, if a, b and c denote the lengths of pe...

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  13. What is the ratio of side to the height of an equilateral triangle?

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  14. The triangle is formed by joining the mid point of the sides AB, BC an...

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  15. One side other than the hypotenuse of right angle isosceles triangle i...

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  16. Any two of the four triangles formed by joining the mid - points of th...

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  17. The internal bisectors of angleB and angleC of DeltaABC meet at O. If ...

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  18. The point in the plane of a triangle which is at equal perpendicular d...

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  19. Incentre of a triangle lies in the interior of :

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  20. In a triangle PQR, PQ = 20 cm and PR = 6 cm, the side QR is :

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