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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

`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

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The correct Answer is:
B
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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  2. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+"...

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  3. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then,

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  4. If a parabola has the origin as its focus and the line x = 2 as the ...

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  5. In a school, there are 30 teachers who teach Mathematics or Physics. O...

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  6. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

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  7. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  8. Of the 125 students in an elementary school, 89 students play checkers...

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  9. What is the 5th term of this sequence 9, 13, 17, ...?

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  10. In a group of 400 people, 250 can speak Punjabi and 200 can speak Engl...

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  11. If f (x) = a cos (bx + c) + d, then what is the range of f (x)?

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  12. If f (x) = 3x − 5, then inverse of f(x) is

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  13. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  14. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  15. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

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  16. Evaluate int 28x^2 dx.

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  17. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

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  18. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

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  19. Let O be the vertex and Q be any point on the parabola,x^2=""8y . It...

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  20. If the normals of the parabola y^(2)=4x drawn at the end points of its...

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