Browse by Stream
Discuss Doubts
Home
Search for Exam, Articles, Questions
get app
Go To Your Study Dashboard
  1. Home
  2. Please help! The angle between the tangents drawn to the parabola y2 = 12x from the point ( -3, 2 )
# Engineering

The angle between the tangents drawn to the parabola y2 = 12x from the point ( -3, 2 )

  • Option 1)

    90^{\circ}

  • Option 2)

    60^{\circ}

  • Option 3)

    30^{\circ}

  • Option 4)

    45^{\circ}

 

Answers (1)
A Aadil Khan

T^{2}=SS_{1}

\Rightarrow \left ( 2y-6\left ( x-3 \right ) \right )^{2}=\left ( y^{2} -12x\right )\left ( 40 \right )

\Rightarrow \left ( y-3x+9 \right )^{2}=10y^{2}-120x

\Rightarrow y^{2}+9x^{2}+81-6xy-54x+18y=10y^{2}-120x

\Rightarrow 9x^{3}-9y^{2}-6xy+66x+18y+81=0

\Rightarrow 3x^{2}-3y^{2}-2xy+11x+6y+27=0

\tan \Theta =\frac{2\sqrt{1^{2}+9}}{0} = N.D

\Theta =90^{0}


Option 1)

90^{\circ}

This is correct option

Option 2)

60^{\circ}

This is incorrect option

Option 3)

30^{\circ}

This is incorrect option

Option 4)

45^{\circ}

This is incorrect option

Similar Questions

Exams
Articles
Questions