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The equation y^(2)-x^(2)+2x-1=0, represe...

The equation `y^(2)-x^(2)+2x-1=0`, represents

A

a pair of striaght lines

B

a parallel straight lines

C

a perpendicular straight lines

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C

We have , `y^2-x^2+2x-1=0`
`rArr y^2-(x-1)^2=0`
`rArr (y+x-1)(y-x+1)=0`
`rArr y+x-1=0,y-x+1=0`
Hence , the given equation , represent a pair of perpendicular straight lines .
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PAIR OR STRAIGHT LINES -Excercise 2 (MISCELLANEOUS PROBLEMS)
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  2. If the slope of one of the lines represented by the equation ax^2+2hxy...

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  3. The equation y^(2)-x^(2)+2x-1=0, represents

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  4. The pair of straight lines passing through that point (1,2) and perpen...

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  5. If two sides of a triangle are represented by x^27xy+6y^2=0 and the ce...

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  6. If the angle between the lines represented by the equation y^2+kxy-x^2...

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  7. If the lines represented by the equation 2x^2-3xy+y^2=0 make angles al...

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  8. The line x-2y=0 will be a bisector of the angle between the lines repr...

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  9. If r(1-m^2)+m(p-q)=0, then a bisector of the angle between the lines r...

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  10. The equation of the perpendiculars drawn from the origin to the lines ...

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  11. The equation 2x^2+4xy-py^2+4x+qy+1=0 will represent two mutually perpe...

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  12. The acute angle formed between the lines joining the origin to the poi...

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  13. Two lines are given by (x-2y)^2 + k (x-2y) = 0 . The value of k, so th...

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  14. The locus of the point P(x,y) satisfying the relation sqrt((x-3)^2+(y-...

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  15. The lines joining the origin to the points of intersection of the line...

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  16. The pair of straight lines joining the origin to the points of interse...

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  17. The value of h for which the equation 3x^2+2hxy-3y^2-40x+30y-75=0 repr...

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  18. Which of the following second , degree eqation represented a pair of s...

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  19. The equation of one of the lines represented by the equation pq(x^2-y^...

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  20. If the slope of one line in the pair ax^(2)+4xy+y^(2)=0 is three times...

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