Home
Class 12
MATHS
The normal drawn at a point (at(1)^(2), ...

The normal drawn at a point `(at_(1)^(2), 2at_(1))` of the parabola `y^(2)=4ax`meets on the point `(ar_(2)^(2), 2at_(2))` then

Text Solution

Verified by Experts

The correct Answer is:
`t_(1)t_(2)=2`
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT-BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL-1 (single correct answer type questions )|30 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos

Similar Questions

Explore conceptually related problems

The normal drawn at a point (at_(1)^(2),-2at_(1)) of the parabola y^(2)=4ax meets it again in the point (at_(2)^(2),2at_(2)), then t_(2)=t_(1)+(2)/(t_(1))(b)t_(2)=t_(1)-(2)/(t_(1))t_(2)=-t_(1)+(2)/(t_(1))(d)t_(2)=-t_(1)-(2)/(t_(1))

The normal at the point (bt_(1)^(2),2bt_(1)) on the parabola y^(2)=4bx meets the parabola again in the point (bt_(2)^(2),2bt_(2),) then

f the normal at the point P(at_(1),2at_(1)) meets the parabola y^(2)=4ax aguin at (at_(2),2at_(2)) then

" If the normal at the point " t_(1)(at_(1)^(2),2at_(1)) " on " y^(2)=4ax " meets the parabola again at the point " t_(2) " ,then " t_(1)t_(2) =

The normals to the parabola y^(2)=4ax from the point (5a,2a) is/are

If the normals at the points (x_(1),y_(1)),(x_(2),y_(2)) on the parabola y^(2)=4ax intersect on the parabola then