✕
  1. Tardigrade
  2. Question
  3. Mathematics
  4. The curve x2 - xy + y2 =27 has tangents parallel to x-axis at

Q. The curve has tangents parallel to at

COMEDK COMEDK 2014Application of Derivatives Report Error

Solution:

Given equation of curve is
... (i)
Taking derivative w.r.t. ori both sides



Since, curve has tangent parallel to x-axis
slope of tangent= 0

.....(ii)
\ Now solving (i) and (ii) we get,


For and
Points are (3, 6) and (-3, -6)

Questions from COMEDK 2014

1. In the group under multiplication modulo

Sets

2. The order and degree of the differential equation y = x

3. The angle between two diagonals of a cube is

4. The group (Z, +) has........

Sets

5. If , then

Sets

Questions from Application of Derivatives

1. Let
• Column 1 contains information about zeros of and .
• Column 2 contains information about the limiting behavior of and at infinity.
• Column 3 contains information about increasing/decreasing nature of and .
Column 1 Column 2 Column 3
(I) for some (i) (P) is increasing in ()
(II) for some (ii) (Q) is decreasing in ()
(III) for some (ii) (R) is increasing in ()
(IV) for some (ii) (S) is decreasing in ()

Which of the following options is the only INCORRECT combination?

JEE Advanced 2017

2. The angle of intersection between the curves and where denotes the greatest integer is

WBJEE 2014

3. Let be a positive increasing function with
Then

AIEEE 2010

4. The slope of the normal to the curve at the point is

KEAM 2013

5. The normal to the curve at the point where the curve intersects the y-axis passes through the point :

JEE Main 2017

Mathematics Most Viewed Questions

1. The solution of is

WBJEE 2011 Differential Equations

2. The solution of the differential equation is

COMEDK 2009 Differential Equations

3. dx is equal to

KEAM 2016 Integrals

4. If then

COMEDK 2009 Matrices

5. The value of is

KEAM 2007 Integrals

Latest Updates