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If the equation 2x^2-2hxy+2y^2=0 represe...

If the equation `2x^2-2hxy+2y^2=0` represents two coincident straight lines passing through the origin , then h is equal to

A

`+-6`

B

`sqrt(6)`

C

`-sqrt(6)`

D

`+-2`

Text Solution

Verified by Experts

The correct Answer is:
D
Given `2x^2-2hxy+2y^2=0` ....(i)
Eq..(i) represents two coincident lines passing through origin.
`therefore h^2-ab=0`
`rArr h^2-2xx2=0`
`rArr h^2=4`
`therefore h=+-2` .
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PAIR OR STRAIGHT LINES -Excercise 2 (MISCELLANEOUS PROBLEMS)
  1. The condition of representing the coincident lines by the general quad...

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  2. If the lines (p-q)x^2+2(p+q)xy+(q-p)y^2=0 are mutually perpendicular ,...

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  3. If the equation 2x^2-2hxy+2y^2=0 represents two coincident straight li...

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  4. The angle between the straight lines joining the origin to the point o...

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  5. The two lines represented by 3ax^(2)+5xt+(a^(2)-2)y^(2)=0 are perpendi...

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  6. The equation lambda(x^(3)-3xy^(2))+y^(3)-3x^(2)y=0 represent three str...

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  7. The equation x^(3)+x^(2)y-xy^(2)-y^(3)=0 represents three straight lin...

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  8. The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at

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  9. All chords of the curve 3x^2-y^2-2x+4y=0 which subtend a right angle a...

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  10. Distance between the lines represented by the equation x^2+2sqrt(3)xy+...

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  11. The lines represented by x^(2)+2lambda xy+2y^(2)=0 and the lines repre...

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  12. The pair of lines passing through the origin and parallel to the lines...

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  13. If the bisectors of angles represented by ax^2+2hxy+by^2=0 and a'x^2+2...

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  14. The angle between the pair of straight lines y^2sin^2theta-xysin^2thet...

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  15. Find the distance between the pair of parallel lines x^2+4x y+4y^2+3x+...

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  16. The distance btween the parallel lines 9x^2-6xy+y^2+18x-6y+8=0, is

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  17. The point of intersection of the pair of straight lines given by 6x^(2...

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  18. If first degree terms and constant term are to be removed from the equ...

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  19. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=a...

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  20. A pair of perpendicular straight lines is drawn through the origin f...

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