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The line L has intercepts a and b on the...

The line L has intercepts a and b on the coordinate axes. When keeping the origin fixed, the coordinate axes are rotated through a fixed angle,then the same line has intercepts p and q on the rotated axes. Then

A

`a^(2)+b^(2)=p^(2)+q^(2)`

B

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

C

`a^(2)+p^(2)=b^(2)+q^(2)`

D

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

Text Solution

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The correct Answer is:
D
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-SELF ASSESSMENT TEST
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  5. Orthocentre of the triangle formed by the lines x+y=1 and xy=0 is

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  7. The orthocentre of the triangle with vertices [2,((sqrt(3)-1))/2],(1...

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  14. Let A (2,-3) and B(-2,1) be vertices of a triangle ABC. If the centroi...

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  15. If the vertices P,Q,R of a triangle PQR are rational points, which of ...

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  16. A straight line through the vertex P of a trinagle PQR intesect the si...

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  17. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching x...

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  19. The lines ax+by+c=0 an Ax+By+C=0 are perpendicular of aA+bB=0.

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  20. The points (1,2) and (3,4) are on the same side of line 2x-3y+5=0

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