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Find the nearest point on the line 3x+4y...

Find the nearest point on the line 3x+4y=2 from the origin.

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The correct Answer is:
this required point is `((6/25),(8/25))`
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i Reduce the equation 3x + 4y - 12 = 0 into intercept form. ii. Find the distance of the above line from the origin. iii. Find the distance of the above line from the line 6x + 8y- 18 = 0.

Find the points on the line x + y = 1 that lie at a distance 3 units from the line 5x+12y = 3.

PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY-PROBLEM FOR PRACTICE (CHOOSE THE CORRECT OPTION)
  1. Find the nearest point on the line 3x+4y=2 from the origin.

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  2. If P(a,b) is the mid point of a line segment between the axes, then:

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  3. The normal form of sqrt3x+y=4 is:

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  4. If (7,x) (-3,3) (2,2) are collinear then the value of x is:

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  5. If theta is a parameter, then the locus of a moving point whose coordi...

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  6. The line which is perpendicular to 3x-4y+1=0 is:

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  7. The line 2x+3y=5,2x+y=k,2x-y-1=0

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  8. The line a(1)x+b(1)y+c(1)=0 and a(2)x+b(2)y+c(2)=0 are perpendicular i...

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  9. The perpendicular distance from (1,2) to the line 5x+12y-3=0 is:

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  10. Find the nearest point on the line 3x+y=10 from the origin is:

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  11. The condition that the pair of straight lines ax^(2)+2xy+by^(2)=0 are ...

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  12. Figure

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  13. Find the incorrect statement:

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  14. Find the incorrect statement:

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  15. Find the correct statement:

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  16. Find the correct statement:

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  17. Find the odd one out:

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  18. Find the odd one out:

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  19. The locus of a moving point P(a cos^(3)theta,a sin^(3)theta) is:

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  20. AB=12cm. Ab sides with A on x-axis, B on y-axis respectively. Then the...

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  21. The equating straight line with y-intercept -2 and inclination with x-...

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