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Find the equation of line passing throug...

Find the equation of line passing through the point of intersection of the lines `2x+3y+1=0` and `3x-5y-5=0`
`(i)` perpendicular to `X`-axis.
`(ii)` perpendicular to `Y`-axis.
`(iii)` perpendicular to line `x-2y+1=0`
`(iv)` parallel to line `x+2y-1=0`.

Text Solution

Verified by Experts

The correct Answer is:
`(i) 19x-10=0` `(ii) 19y+13=0` `(iii) `38x+19y-7=0` `(iv) 19x+38y+16=0`
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NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
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  6. Find the equation of the line passing through (-3,5) and perpendicular...

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  7. The co-ordinates of the vertices of DeltaABC are A(-2,4), B(5,5) and C...

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  8. Find the equation of a line which passes through the point (5,1) and c...

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  9. The co-ordinates of three vertices of a parallelogram ABCD are A(1,0) ...

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  10. The perpendicular drawn from origin to the line y=mx+c meets the line ...

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  11. The perpendicular distance between the lines 3x+4y=6 and 3x+4y+4=0 is ...

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  12. The equation of the perpendicular bisector of line AB is x+2y=8 and th...

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  13. Equation of a line passing through the point (2,3) and perpendicular t...

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  14. In what ratio, the line joining (-1,1) and (5,7) is divided by the l...

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  15. Find the image of the point (3, 8)with respect to the line x + 3y = 7...

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  16. The locus of the points of intersection of the lines x cos theta+y sin...

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  17. A straight line through the point (2,2) intersects the lines sqrt(3)x+...

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  18. The triangle formed by the straight lines x=-y, x+y=4 and x+3y=4 is ...

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  19. The lines px +qy+r=0, qx + ry + p =0,rx + py+q=0, are concurrant then

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  20. Find the point of intersection of the following pairs of lines: b x+a ...

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