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Find all points on x+y=4 that lie at a u...

Find all points on `x+y=4` that lie at a unit distance from the line `4x+3y-10=0.`

A

(3,1) and (-7,11)

B

(-3,7) and (2,2)

C

(-3,7) and (-7,11)

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. The equation of line on which the perpendicular from the origin make 3...

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  2. The area (in square units ) of the triangle formed by y-axis , the str...

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  3. Find all points on x+y=4 that lie at a unit distance from the line 4x+...

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  4. Find the equations of the lines through the point of intersection of ...

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  5. The number of lines that are parallel to 2x + 6y -7= 0 and have an int...

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  6. The ratio in which the line segment joining (-1,1) and (5,7) is divide...

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  7. The image of the point (1, 3) in the line x + y-6 = 0 is

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  8. A triangle ABC right angled at A has points A and B as (2, 3) and (0, ...

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  9. The equation of the line passing though the intersection of x-sqrt(3)y...

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  10. In a rhombus ABCD the diagonals AC and BD intersect at the point (3,4)...

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  11. The distance between the pair of parallel line, x^2+2xy+y^2-8ax-8ay-9a...

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  12. The ratio in which the line 3x - 2y + 5 = 0 divides the join of (6,-7)...

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  13. One vertex of the equilateral triangle with centroid at the origin and...

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  14. The distance of the line x + y - 8 = 0 from (4,1) measured along the d...

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  15. about to only mathematics

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  16. The orthocentre of the triangle formed by the lines x + y =1 , 2x + 3...

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  17. If each of the points (x1,4),(-2,y1) lies on the line joining the poin...

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  18. The area bounded by the straight lines y =1 and +- 2 x + y = 2, in squ...

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  19. The locus of a point P which divides the line joining (1, 0) and (2 co...

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  20. The area of triangle A B C is 20c m^2dot The coordinates of vertex A a...

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