Home
Class 12
MATHS
The triangle formed by the normal to the...

The triangle formed by the normal to the curve `f(x)=x^2-ax+2a` at the point (2,4) and the coordinate axes lies in second quadrant, if its area is 2 sq units, then a can be

A

2

B

`17//4`

C

5

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B, C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|5 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|9 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|24 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the normal to the curve y=x^3-x+1 at the point whose x- coordinate is 2.

Find the slope of the normal to the curve y=x^(3)-x+1 at the point whose x-coordinate is 2.

Knowledge Check

  • The normal at the point (1, 1) on the curve 2y + x^2 = 3 is

    A
    `x+y=0`
    B
    `x-y=0`
    C
    `x+y+1=0`
    D
    `x-y+1=0`
  • Similar Questions

    Explore conceptually related problems

    The slope of the tangent to the curve y=3x^(2)+4x at the point with x-coordinates -2 is -8.

    The area of the triangle formed by the tangent at the point (a, b) to the circle x^(2)+y^(2)=r^(2) and the coordinate axes, is

    The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+(y^2)/(b^2)=1 and the coordinate axes is

    Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

    Determine the area enclosed between the curve y=cos 2x, 0lexlepi/4 and the co-ordinate axes.

    The area formed by the normals to y^2=4ax at the points t_1,t_2,t_3 is

    The normal at the point (1, 1) on the curve 2y+x^(2)=3 is