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The pair of lines passing through the origin and parallel to the lines represented by the equation `2x^2-xy-6y^2+7x+21y-15=0`, is

A

`2x^2-xy-6y^2=0`

B

`6x^2-xy-6y^2=0`

C

`6x^2-xy-2y^2=0`

D

`2x^2+xy-6y^2=0`

Text Solution

Verified by Experts

The correct Answer is:
A
We have , `2x^2-xy-6y^2+7x+21y-15=0`.....(i) To get the equation of lines parallel of Eq. (i) nad passing through origin , omitting first degree term from Eq.(i) , we get the required equation `2x^2-xy-6y^2=0` .
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PAIR OR STRAIGHT LINES -Excercise 2 (MISCELLANEOUS PROBLEMS)
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  2. The lines represented by x^(2)+2lambda xy+2y^(2)=0 and the lines repre...

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

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

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

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

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

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

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

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

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

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  12. If the origin is shifted to the point ((a b)/(a-b),0) without rotation...

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  13. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the a...

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  14. The slopes of lines represented by x^2+2hxy+2y^2=0 are in the ratio 1:...

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  15. The angle between the pair of lines whose equation is 4x^(2)+10xy+my^(...

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  16. The equation x-y=4 and x^2+4xy+y^2=0 represent the sides of

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  17. The distance between the two lines represented by the sides of an equi...

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  18. If the pairs of lines x^(2)+2xy+ay^(2)=0andax^(2)+2xy+y^(2)=0 have e...

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  19. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the a...

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  20. The angle between the pair of straight lines formed by joining the poi...

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