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If the straight lines ax+by+c=0 and x co...

If the straight lines `ax+by+c=0 and x cos alpha +y sin alpha = c` enclose an angle `pi//4` between them and meet the straight line `x sin alpha - y cos alpha = 0 ` in the same point , then

A

`a^(2)+b^(2)=c^(2)`

B

`a^(2)+b^(2)=2`

C

`a^(2)+b^(2)=2c^(2)`

D

`a^(2)+b^(2)=4`

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-THE STRAIGHT LINES-Exercise For Session 1
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  8. A square of side a lies above the X- axis and has one vertex at the or...

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  10. Find the equation of a straight line passing through the point (-5,4) ...

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  13. A straight line drawn through the point P(2,3) and is incline at an an...

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  14. If the straight line through the point (3,4) makes an angle pi/6 with ...

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

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  16. A line is such that its segment between the lines 5x y + 4 = 0and 3x...

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  17. The sides AB and AC of a triangle ABC are respectively 2x+3y= 29 and x...

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