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A line cutting off intercept -3 from the...

A line cutting off intercept `-3` from the `Y-`axis and the tangent at angle to the `X-`axis is `(3)/(5)`, its equation is

A

`5y-3x+15=0`

B

`3y-5x+15=0`

C

`5y-3x-15=0`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A

Given that, c=-3and `m=(3)/(5)`
`therefore` Equation of the line is `y=mx+c`
`y=(3)/(5)x-3`
`rArr5y=3x-15`
`rArr5y-3x+15=0`
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NCERT EXEMPLAR ENGLISH-STRAIGHT LINES-Objective type questions
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  2. Slope of a line which cuts off intercepts of equal lengths on the axes...

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  3. The equation of the straight line passing through the point (3,2) and ...

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  6. If the line x/a+y/b=1 passes through the points a (2,- 3) and (4, - 5)...

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  7. The distance of the point of intersection of the lines 2x-3y+5=0 and 3...

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  8. Show that the equations of eth straight lines passing through the poin...

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  9. Find the equations of lines passing through the point (1,0) and a dist...

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  10. The distance between the lines y=mx+c1 and y=mx+c2 is

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  11. Find coordinates of the foot of perpendicular, image and equation of p...

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  12. If the coordinates of the middle point of the portion of a line interc...

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  13. Equation of the line passing through (1,2) and parallel to the line y=...

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  14. Find the equations of the diagonals of the square formed by the lines ...

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  15. For specifying a straight line, how many geomatrical parameters should...

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  17. A point equidistant from the line 4x + 3y + 10 = 0, 5x-12y + 26 = 0 an...

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  18. A line passes through the point (2,2) and is perpendicular to the lin...

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  19. Find the ratio in which the line 3x+4y+2=0 divides the distance betwee...

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