Home
Class 12
MATHS
Consider the two curves C1:y^2 = 4x1, C2...

Consider the two curves `C_1:y^2 = 4x_1, C_2:x^2 + y^2 - 6x+1=0`. Then,

A

`C_1` and `C_2` touch each other only at one point

B

` C_1` and `C_2` touch each other exactly at two points

C

`C_1` and `C_2` intersect (but do not touch) at exactly. two points

D

`C_1` and `C_2` neither intersect nor touch each other

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (1) (TRUE AND FALSE)|2 Videos
  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|2 Videos
  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos
  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

Similar Questions

Explore conceptually related problems

Consider the two curves C_(1);y^(2)=4x,C_(2)x^(2)+y^(2)-6x+1=0 then :

Consider two curves C1:y^2=4x; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 touch each other at one point b. C1 and C2 touch each other exactly at two point c. C1 and C2 intersect(but do not touch) at exactly two point d. C1 and C2 neither intersect nor touch each other

Consider the two curves C_(1):y=1+cos x and C_(2): y=1 + cos (x-alpha)" for "alpha in (0,(pi)/(2))," where "x in [0,pi]. Also the area of the figure bounded by the curves C_(1),C_(2), and x=0 is same as that of the figure bounded by C_(2),y=1, and x=pi . The value of alpha is

Consider the curve C_(1):x^(2)-y^(2)=1 and C_(2):y^(2)=4x then The point of intersection of directrix of the curve C_(2) with C_(1)

Consider two circles C_(1):x^(2)+y^(2)=1 and C_(2):x^(2)+y^(2)-6x-8y-k=0,k>0. If C_(1), and C_(2) touch each other then

Consider the curve C_(1):x^(2)-y^(2)=1 and C_(2):y^(2)=4x then ,The number of lines which are normal to C_(2) and tangent to C_(1) is

Consider the curves C_(1) = y - 4x + x^(2) = 0 and C_(2) = y - x^(2) + x = 0 The raio in which the line y = x divide the area of the region bounded by the curves C_(1) = 0 and C_(2) = 0 is