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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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  2. The lines x cos alpha + y sin alpha = P1 and x cos beta + y sin beta =...

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  3. If each of the points (x1,4),(-2,y1) lies on the line joining the poin...

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  4. The equation of the straight line passing through the point (4. 3) and...

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  5. If the straight lines ax+by+c=0 and x cos alpha +y sin alpha = c enclo...

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  6. The angle between the straight lines 2x-y+3=0 and x+2y+3=0 is-

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  7. Find the gradient of a straight line which is passes through the point...

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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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  9. A(1,3) and C(7,5) are two opposite vertices of square The equation of ...

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

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  11. Equation to the straight line cutting off an intercept 2 from negative...

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  12. What is the value of y so that the line through (3,y)a n d(2,7) is par...

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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. Find the solution of the given inequality 7 ge 5x - 8 ge 2

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

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

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  17. The sides A Ba n dA C of a triangle A B C are respectively 2x+3y=29a n...

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  18. A straight line through A (-15 -10) meets the lines x-y-1=0, x+2y=5 an...

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