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The condition that the lines joining ori...

The condition that the lines joining origin to the points of intersection of y = mx + c with the curve `x^(2)+y^(2)=a^(2)` to be perpendicular is

A

`c^(2)=a^(2)(1+m^(2))`

B

`c^(2)=a^(2)(1-m^(2))`

C

`2c^(2)=a^(2)(1-m^(2))`

D

`2c^(2)=a^(2)(1+m^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE EXERCISE
  1. The equation of the diagonal passing through the origin of the paralle...

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  2. If 2x^(2)-5xy+3y^(2)=0 represents two adjacent sides of a parallelogra...

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  3. The equation to pair of opposite sides of a parallelogram are x^(2)-7x...

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  4. If the pair of lines 6x^(2)+7xy+2y^(2)=0,6x^(2)+7xy+2y^(2)-5x-3y+1=0 f...

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  5. If the pair of lines 2x^(2)-5xy+2y^(2)=0 forms a parallelogram with pa...

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  6. The area of rectangle formed by the pair of lines xy-x-2y+2=0 and xy-3...

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  7. Area of quadrilateral formed by two pair of lines x^(2)-y^(2)-3(x+y)=0...

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  8. The condition that the lines joining origin to the points of intersect...

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  9. The lines joining the origin to the points of intersection of x+2y=k w...

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  10. The curve x^(2)+y^(2)+2gx+2fy+c=0 intercepts on the line lx+my=1, a le...

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  11. The chord through (1, -2) cuts the curve 3x^(2)-y^(2)-2x+4y=0 in P and...

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  12. A pair of perpendicular straight lines passes through the origin and a...

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  13. Find the equation to the pair of lines joining the origin to the point...

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  14. If the sum of the slopes of the lines given by x^(2)-2cxy-7y^(2)=0 is ...

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  15. If one of the lines given by 6x^(2)-xy+4cy^(2)=0 is 3x+4y=0 then 'c' e...

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  16. The Angle between the pair of lines x^(2)+4xy+y^(2)=0 is

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  17. The distance between the pair of parallel lines 9x^(2)-24xy+16y^(2)-12...

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  18. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of a...

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  19. If the pairs of straight lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)...

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  20. If a^(2)+4b^(2)-9c^(2)=4ab, then the line on which is meet the point o...

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