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The lines represented by the equation x^...

The lines represented by the equation `x^2-y^2-x+3y-2=0` are

A

`x+y-1=0,x-y+2=0`

B

`x-y-2=0,x+y+1=0`

C

`x+y+2=0,x-y-1=0`

D

`x-y+1=0,x+y-2=0`

Text Solution

Verified by Experts

The correct Answer is:
D
The given equation of pair of straight lines can be rewritten as `(x-y+1)(x+y-2)=0`
`therefore` The equation of lines which are represented by the given equation are `x-y+1=0 and x+y-2=0`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PAIR OR STRAIGHT LINES -PRACTICE EXCERCISE (Excercise 1) (Topical Problems) (General Equation of Second Degree)
  1. If in the general quadratic equation f(x,y)=0,Delta=0 and h^2=ab, then...

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  2. If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straigh...

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  3. If lambdax^(2)-10xy+12y^(2)+5x-16y-3=0, represents a pair of straight ...

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  4. If ax^2-y^2+4x-y=0 represents a pair of lines , then a is equal to

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  5. The value of lambda for which the equation x^2-y^2 - x - lambda y - ...

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  6. The value of 'p' for which the equation x^2+pxy+y^2-5x-7y+6=0 represen...

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  7. If the equation kx^2-2xy-y^2-2x+2y=0 represents a pair of lines , then...

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  8. The equationof the pair of straight lines perpendicular to the pair 2x...

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  9. The lines represented by the equation x^2-y^2-x+3y-2=0 are

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  10. If the lines x^2+2x y-35 y^2-4x+44 y-12=0 and 5x+lambday-8 are concurr...

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  11. In order to eliminate the first degree terms from the equation 2x^2+4x...

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  12. The equation x^(2)+2sqrt(ab)xy+by^(2)+2 gx+2fy+c=0 represents a pa...

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  13. If the lines joining the origin to the points of intersection of the ...

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  14. If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents parallel straight lines, ...

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  15. The equation 8x^2+8xy+2y^2+26x+13y+15=0 represents a pair of straight ...

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  16. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two str...

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  17. Prove that the straight lines joining the origin to the point of in...

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  18. The equation ax^2+by^2+cx+cy=0 c !-=0 represents a pair of straight li...

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  19. If the equation 12x^(2)+7xy-py^(2)-18x+qy+6=0 represents a pair of pe...

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  20. The pairs of straight lines x^2-3xy+2y^2=0 and x^2-3xy+2y^2+x-1 form a

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