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If PM is the perpendicular from P(2,3) ...

If PM is the perpendicular from P(2,3) on the line `x+y=3`, then the coordinate of M are

A

2,1

B

`-1,4`

C

1,2

D

`4,-1`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the coordinates of M be `(x_(1) , y_(1))`
Since the line PM is perpendicular to the given line
x+y =3
` (y_(1)-3)/(x_(1)-2) xx (-1)=-1`
` y_(1)-3 =x_(1)=-2`
` Hence, the coordinates of M are (1,2)
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STRAIGHT LINE -EXERCISE 2(MISCELLANEOUS PROBLEMS)
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  5. Determine the ratio in which the line 3x+y-9=0 divides the segment ...

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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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  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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