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The equations of the lines through (-1,-...

The equations of the lines through (-1,-1) and making angle `45^@` with the line x+y=0 are given by

A

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

B

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

C

xy+x+y=0

D

xy+x+y+1=0

Text Solution

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The correct Answer is:
D
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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. The number of integral values of 'm' for which the x coordinate of the...

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  2. Let 2x-3y=0 be a given line and P(sintheta, 0) and Q(0, costheta) be t...

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  3. The equations of the lines through (-1,-1) and making angle 45^@ with ...

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  4. The equations of the lines through the point (1,2) whose distance from...

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  5. The line segment joining the points (1,2) and (-2, 1) is divided by th...

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  6. If a ray travelling the line x=1 gets reflected the line x+y=1, then t...

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  7. The value of lambda so that the equation lambda x^2+2xy+lambday^2+4x+4...

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  8. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

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  9. The equation sqrt({(x-2)^2+y^2})+sqrt({(x+2)^2+y^2})=4 represents

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  10. If the lines represented by x^2-2pxy-y^2=0 are rotated about the origi...

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  11. Product of the perpendiculars from (alpha, beta) to the lines ax^2+2hx...

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  12. The gradient of one of the lines ax^2+2hxy+by^2=0 is twice that of the...

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  13. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

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  14. If one of the pair of lines ax^2+2hxy+by^2=0 bisects the angle between...

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  15. If the quadratic equation ax^2+bx+c=0 has -2 as one of its roots, then...

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  16. The lines 2x-y-1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent for

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  17. Given the family of lines, a(3x+4y+6) +b(x+y+2)=0. The line of the fam...

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  18. If 3a+2b+6c=0, the family of straight lines ax+by+c=0 passes through a...

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  19. Consider the family of lines (x+y-1)+lambda(2x+3y-5)=0 and (3x+2y-4)+m...

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  20. P(3,1), Q(6,5) and R(x,y) are three points such that the angle PRQ is ...

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