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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

Answer

Step by step text solution for 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 by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • The curves 2x^(2) + 3y^(2) = 1 and cx^(2) + 4y^(2) = 1 cut each other orthogonally then the value of c is:

    A
    `(1)/(3)`
    B
    3
    C
    `(5)/(12)`
    D
    `(12)/(5)`

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