Home
Class 12
MATHS
Show that the shrtest distance of the po...

Show that the shrtest distance of the point (0, 8a) from the curve `ax^2 = y^3` is `2a sqrt 11`.

Text Solution

Verified by Experts

The correct Answer is:
`=2asqrt(11)` units
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 2|17 Videos

  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST(1 MARK Questions)|9 Videos

  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise TOPIC-2 (PRACTICE QUESTIONS) (4 MARK Questions)|12 Videos

  • AREA UNDER PLANE CURVES

    ARIHANT PRAKASHAN|Exercise Chapter Test |11 Videos

Similar Questions

Explore conceptually related problems

Show that the shortest distance of the point (0, 8 a) from the curve ax^(2) = y^(3) is 2 a sqrt(11)

Show that the shortest distance of the point (0, 8 a) from the curve ax^(2) = y^(3) is 2 a sqrt(11)

Show that the minimum distance of a point on the curve (a^(2))/(x^(2)) + (b^(2))/(y^(2)) = 1 from the origin is a + b.

Answer all questions (e) Find the distance of the point (2, 1, 0) from the plane 2x + y + 2z + 5 =0 .

Answer all questions (e) Find the distance of the point (2, 1, 0) from the plane 2x + y + 2z + 5 =0 .

Find the equation of the tangents drawn from the point (1, 2) to the curve y^(2) - 2x^(3) - 4y + 8 = 0 .

Find the equation of the tangents drawn from the point (1, 2) to the curve y^2 - 2x^2 - 4y+8=0

At what point of x^2=2y the point (0,3) is nearest to the curve?

Find thte perpendicular distance of the point (1,0,0) from the line (x - 1)/(2) = (y + 1)/(-3) = (z + 10)/(8) . Also, find the coordinates of the foot of perpendicular and equation of perpendicular.

Find the equasion of the tangents drawn from the point (1,2) to the curve. y^2 - 2x^3 - 4y + 8 = 0

Home
Profile