Maths / Coordinate Geometry / Distance Formula

QUESTION
 

Find the distance between large (costheta,-sintheta ) and large (-costheta,sintheta ).

OPTIONS
A. 

3 units

B. 

1 unit

C. 

2 units

D. 

large sqrt2;units

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

 Let the points large (costheta,-sintheta ) and large (-costheta,sintheta ). be denoted by A and B respectively. We have

             large AB^{2}=(-costheta -costheta )^{2}+left [ sintheta -(-sintheta )^{2} right ]

                          large =(-2costheta )^{2}+(2sin theta )^{2}

                           large =4;cos^{2}theta +4;sin^{2}theta =4(cos^{2}theta +sin^{2}theta )=4

large Rightarrow ;;;AB=2;;units

 

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