Home
Class 12
MATHS
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)=2c^(2)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the straight lines ax+by+c=0 and x cos alpha+y sin alpha=c encloses an angle of (pi)/(4) between them and meet the straight line x sin alpha-y cos alpha=0 in the point then

If x cos alpha + y sin alpha = x cos beta + y sin beta = 2a then cos alpha cos beta =

if the equations y=mx+c and x cos alpha+y sin alpha=p represent the same straight line then:

If x cos alpha + y sin alpha = x cos beta + y sin beta = a, 0

The length of the perpendicular from the origin on the line (x sin alpha)/(b ) - (y cos alpha)/(a )-1=0 is

If x=a sin alpha+b cos alpha and y=a cos alpha-b sin alpha then remove alpha

The line x sin alpha - y cos alpha =a touches the circle x ^(2) +y ^(2) =a ^(2), then,