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The straight line passing through P(x1,y...

The straight line passing through `P(x_1,y_1)` and making an angle `alpha` with x-axis intersects `Ax + By + C=0` in Q then `PQ` =________________

A

`|(Ax_(1) + By_(1) +C)/(sqrt(A^(2) + B^(2)))|`

B

`-(A x_(1) + By_(1) + C)/(A cos alpha + B sin alpha)`

C

`(A x_(1) + By_(1) + C)/(A cos alpha + B sin alpha)`

D

`-(A x_(1) + By_(1) + C)/(A sin alpha + B cos alpha)`

Text Solution

Verified by Experts

The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
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  2. about to only mathematics

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  3. The straight line passing through P(x1,y1) and making an angle alpha w...

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  4. Find the value of lambda, if the lines 3x-4y-13=0, 8x-11y-33, and 2x-3...

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  5. The equation of line on which the perpendicular from the origin make 3...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. about to only mathematics

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

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