Home
Class 11
MATHS
A tangent to the parabola y^2 = 8x makes...

A tangent to the parabola `y^2 = 8x` makes an angle of `45^@` with the straight line y = 3x + 5. Then points of contact are.

Text Solution

Verified by Experts

m=3
`tantheta=|(m_1-m_2)/(1+m_1m_2)|`
`1=|(3-m)/(1+3m)|`
after solving this
`m=1/2,-2`
`y^2=8x`
after diff, with respect to x
`2yy'=8`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

A tangent to the parabola y^(2)=8x makes an angle of 45^(@) with the straight line y=3x+5 Then find one of the points of contact.

A tangent to the parabola y^(2) = 8x makes an angle of 45^(@) with the straight line y = 3x + 5 . Find its equation and its point of contact.

A tangent to the parabola y^2=8x makes an angle 45^@ with the line 3x-y+5=0 Find the equation and the point of contact.

The equation of a tangent to the parabola y^(2)=8x which makes an angle 45^(@) with the line y = 3x + 5 is