Questions
The line which is parallel to -axis and crosses the curve at an angle of , is
a
x =1/4
b
y =1/4
c
y=1/2
d
y=1
detailed solution
Correct option is C
The equation of a line parallel to x-axis is y=k.Solving this equation with y=x, we get x=k2.Thus, the line y=k intersect with y=x at k2, k.It is given that the line y=k intersects the curve y=x at an angleor n/4.This means that the slope of the tangent to y=x atk2, k is tan(±π/4)=±1.⇒dydxk2, k=±1⇒12xk2, k=±1⇒k=±12Hence, the required lines are y=±12Talk to our academic expert!
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The straight line passing through and making an angle with x-axis intersects Ax+By+C=0 in Q then PQ=
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