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The lines (y-mx)^(2)=a^(2)(1+m^(2)) and ...

The lines `(y-mx)^(2)=a^(2)(1+m^(2)) and (y-nx)^(2)=a^(2)(1+n^(2))` form a rhombus but not a square when

A

`m^(2)=n^(2)`

B

`m ne 1`

C

`mn=-1`

D

`mn ne -1`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. The figure formed by the pairs of lines 3x^(2)+10xy+3y^(2)=0 and 3x^(2...

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  2. If fg = ch, the lines represented by hxy+ gx+ fy + c = 0 form a quadri...

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  3. The lines (y-mx)^(2)=a^(2)(1+m^(2)) and (y-nx)^(2)=a^(2)(1+n^(2)) form...

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  4. Quadrilateral formed by xy + x + y + 1=0 and xy + 3x + 3y + 9 =0 is qu...

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  5. The figure formed by the two pairs of lines x^(2)-3x + 2 = 0, y^(2) + ...

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  6. The figure formed by the pairs of lines x^(2)-2=0 and 9x^(2)-24xy+16y^...

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  7. The sides of a parallelogram are given by 2x^(2)-5xy+2y^(2)=0 and 2x^(...

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  8. The equation of the diagonal passing through the origin of the paralle...

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  9. If two of the sides of a parallelogram are represented by ax^2+2hxy+by...

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  10. The equation to a pair of oppite sides of parallelogram are x^2-sx+6=0...

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  11. The combined equation of the diagonals of the square formed by the pai...

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

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  13. In the above problem, the length of its side is

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  14. If the pair of lines 8x^(2)+2xy-3y^(2)=0 forms a parallelogram with pa...

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  15. If the equation 2hxy + 2gx + 2fy + c = 0 represents two straight lines...

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  16. The area of rectangle formed by the pair of lines xy+x+y+1=0 and xy+3x...

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  17. Area of quadrilateral formed by two pair of lines a^(2)x^(2)-b^(2)y^(2...

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  18. Find the condition for the lines joining the origin to the points of i...

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  19. The angle between pair of lines formed by joining the points of inters...

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  20. Show that the lines joining the origin to the two points of intersecti...

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