AIEEE 2003 | Parabola Question 107 | Mathematics

AIEEE 2003

MCQ (Single Correct Answer)

-1

Out of Syllabus

The normal at the point$$\left( {bt_1^2,2b{t_1}} \right)$$ on a parabola meets the parabola again in the point $$\left( {bt_2^2,2b{t_2}} \right)$$, then :

$${t_2} = {t_1} + {2 \over {{t_1}}}$$

$${t_2} = -{t_1} - {2 \over {{t_1}}}$$

$${t_2} = -{t_1} + {2 \over {{t_1}}}$$

$${t_2} = {t_1} - {2 \over {{t_1}}}$$

AIEEE 2002

MCQ (Single Correct Answer)

-1

Out of Syllabus

Two common tangents to the circle $${x^2} + {y^2} = 2{a^2}$$ and parabola $${y^2} = 8ax$$ are :

$$x = \pm \left( {y + 2a} \right)$$

$$y = \pm \left( {x + 2a} \right)$$

$$x = \pm \left( {y + a} \right)$$

$$y = \pm \left( {x + a} \right)$$

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