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In right angled DeltaABC,angleB=90^(@), ...

In right angled `DeltaABC,angleB=90^(@)`, if P and Q are points on the sides AB and BC respectively, then :

A

`AQ^(2)+CP^(2)=2(AC^(2)+PQ^(2))`

B

`AQ^(2)+CP^(2)=AC^(2)+PQ^(2)`

C

`(AQ^(2)+CP^(2))=(1)/(2)(AC^(2)+PQ^(2))`

D

`(AQ+CP)=(1)/(2)(AC+PQ)`

Text Solution

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The correct Answer is:
B
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ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.2
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  3. In right angled DeltaABC,angleB=90^(@), if P and Q are points on the ...

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  5. If DeltaABC and DeltaDEF are so related the (AB)/(FD)=(BC)/(DE)=(CA)/(...

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  7. Let ABC be an equilateral triangel. Let BE|CA meeting CA at E, then (A...

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  11. Consider the following statements : (1) If three sides of a triangl...

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  12. In the figure DeltaABE is an equilateral triangle in a square ABCD. Fi...

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  13. In the given diagram MN||PR and angleLBN=70^(@),AB=BC, Find angleABC:

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  14. In the given diagram, equilateral triangle EDC surmounts square ABCD. ...

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  15. In the given diagram XY||PQ. Find anglex^(@) and angley^(@) :

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  16. In the adjoining figure angleCAB=62^(@), angleCBA=76^(@)angleADE=58^(...

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  17. In the given figure CE|AB, angleACE=20^(@) and angleABD=50^(@). Find ...

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  18. In the DeltaABC, BD bisects angleB, and is prpendicular to AC. If the ...

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  19. In the following figure ADBC, BD=CD=AC, angleABC=27^(@), angleACD=y. ...

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