Home
Class 12
MATHS
Two curves C1: y=x^2-3\ a n d\ C2\ : y\ ...

Two curves `C_1: y=x^2-3\ a n d\ C_2\ : y\ k x^2\ ,\ k in R` intersect each other at two different points. The tangent drawn to `C_2` at one of the points of intersection `A\ -=` `(a , y_1),(a >0)` meets `C_1` again at `B\ (1, y_2)\ (y_1!=y_2)dot` The value of `' a '` is 1 (b) 3 (c) 5 (d) 7

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|12 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|1 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Find the acute angle between the curves y=|xhat2-1|a n d y=|x^2-3| at their points of intersection.

The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point of intersection.

The equation of the tangents to the curve (1+x^(2))y=1 at the points of its intersection with the curve (x+1)y=1 , is given by

Two circles x^2 + y^2 + 2x-4y=0 and x^2 + y^2 - 8y - 4 = 0 (A) touch each other externally (B) intersect each other (C) touch each other internally (D) none of these

Show that the two lines x+1/3=y+3/5=z+5/7 and x-2/1=y-4/3=z-6/5 intersect each other. Find also the point of intersection.

Show that the two lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z intersect each other . Find also the point of intersection.

Find the equations of the tangent line to the curve: y = 2x^2 + 3y^2 = 5 at the point (1,1)

Find the equation of the tangent to the curve x^2/a^2-y^2/b^2=1 at the point (x_1,y_1)

The lines joining the origin to the point of intersection of 3x^2+m x y-4x+1=0 and 2x+y-1=0 are at right angles. Then which of the following is a possible value of m ? -4 (b) 4 (c) 7 (d) 3

Two parabolas C and D intersect at two different points, where C is y =x^2-3 and D is y=kx^2 . The intersection at which the x value is positive is designated Point A, and x=a at this intersection the tangent line l at A to the curve D intersects curve C at point B , other than A. IF x-value of point B is 1, then a equal to