Home
Class 11
MATHS
Consider two curves C1:y^2=4x ; C2=x^2+y...

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

A

Statement-1 is True, Statement - 2 is true, Statement-2 is a correct explanation for Statement-1`

B

Statement-1 is True, Statement - 2 is true, Statement-2 is not a correct explanation for Statement-3

C

Statement-1 is True, Statement - 2 is False.

D

Statement-1 is True, Statement - 2 is True.

Text Solution

Verified by Experts

The correct Answer is:
B
Statement-1 and 2 both are true. But statement-2 is not a correct explanation for statement-1.
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|82 Videos

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise SECTION-I (SOLVED MCQs EXAMPLE)|1 Videos

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

The circles x^2+y^2-12 x-12 y=0 and x^2+y^2+6x+6y=0. a.touch each other externally b.touch each other internally c.intersect at two points d.none of these

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

The radical axis of two circles having centres at C_(1) and C_(2) and radii r_(1) and r_(2) is neither intersecting nor touching any of the circles, if

Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that these circles touch each other one of these circles lies entirely inside the other each of these circles lies outside the other they intersect at two points.

Find the value of a ,b ,c such that curves y=x^2+a x+ba n dy=c x-x^2 will touch each other at the point (1,0) then (a+b+c)=

The two circles x^(2)+y^(2)=ax, x^(2)+y^(2)=c^(2) (c gt 0) touch each other if

If the circles x^2+y^2+2ax+c=0 and x^2+y^2+2by+c=0 touch each other, then find the relation between a, b and c .

Parabola y^2=4a(x-c_1) and x^2=4a(y-c_2) where c_1 and c_2 are variables, touch each other. Locus of their point of contact is