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The equation of one of the line parallel...

The equation of one of the line parallel to 4x -3y=5 and at a unit distance from the point (-1,-4) is

A

3x + 4y -3 =0

B

3x + 4y + 3=0

C

4x-3y + 3 =0

D

4x -3y-3=0

Text Solution

Verified by Experts

The correct Answer is:
D
Required equation can be ` 4x-3y - K =0`
`|(4xx(-1)-3xx(-4)-k)/(sqrt(4^(2)+(-3)^(2)))|=1`
` Rightarrow (-4 +12-K)/5= +-1`
` Rightarrow 8-K = +-5`
k =3 or K = 13
Equation of lines are 4x-3y-3 = 0 or 4x-3y-13=0`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STRAIGHT LINE -EXERCISE 2(MISCELLANEOUS PROBLEMS)
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  2. A straight line L through the point (3,-2) is inclined at an angle 60^...

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  3. If a striaght line passes through the points (-1/2,1) and (1,2) then ...

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  4. The equation of the line passing through (0,0) and intersection point ...

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  5. Determine the ratio in which the line 3x+y-9=0 divides the segment ...

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  6. The equations y= +-sqrt3 x,y =1 are the sides of

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  7. The slopes of the lines, which make an angle 45^(@) with the line 3x -...

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  8. The image of the origin with reference to the line 4x+3y -25=0 is

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  9. The length of perpendicular from the point ( a cos prop, a sin prop) ...

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  10. L is a variable line such that the algebraic sum of the distances of ...

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  11. The perpendicular bisector of the line segment joining P (1, 4) and ...

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  12. A line passes through the point of intersection of the line 3x+y+1=0 a...

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  13. The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,...

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  14. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

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  15. If the lines kx-2y-1=0 and 6x-4y-m=0 are identical (coindent) lines, t...

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  16. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

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  17. The line passing through the point of intersection of x + y = 2,x-y = ...

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  18. The equation of the line passing through the point of intersection of ...

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  19. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching ...

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  20. If (sin theta, cos theta) and (3,2) lie on the same side of the line x...

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  21. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

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