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A line is drawn from P(x(1),y(1)) in the...

A line is drawn from `P(x_(1),y_(1))` in the direction `theta` with the x-axis, to meet `ax+by+c=0` at Q. Then the length PQ is equal to

A

`|(ax_(1)+by_(1)+c)/(sqrt((a^(2)+b^(2))))|`

B

`-(ax_(1)+by_(1)+c)/(a cos theta+b sin theta)`

C

`(ax_(1)+by_(1)+c)/(a cos theta+bsin theta)`

D

`-(ax_(1)+by_(1)+c)/(a sin theta+b cos theta)`

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(5)(MULTIPLE CHOICE QUESTIONS)
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  8. If the centroid and a vertex of an equilateral triangle are (2,3) and ...

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  9. The distance of the point (3,5) from the line 2x+3y-14=0 measured para...

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  10. A line is drawn from P(x(1),y(1)) in the direction theta with the x-ax...

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  12. The point P(1,1) is translated parallel to 2x=y in the first quadrant ...

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  13. If a line joining two points A(2,0),B(3,1) is rotated about A in antic...

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  14. If the line y-sqrt(3)x+3=0 cuts the parabola y^(2)=x+2 at A and B, the...

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  15. A straight line through the origin 'O' meets the parallel lines 4x +2y...

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  16. Two sides of a rhombus OABC (O being origin) lying entirely in first o...

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