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A circle is given by x^2 + (y-1) ^2 = 1,...

A circle is given by `x^2 + (y-1) ^2 = 1`, another circle C touches it externally and also the x-axis, then the locus of center is:

A

`{(x,y):x^2=4y}cup{(x,y):yle0}`

B

`{(x,y):x^2+(y-1)^2=4}cup{(x,y):yle0}`

C

`{(x,y):x^2=y}cup{(0,y):yle0}`

D

`{(x,y):x^2=4y}cup{(0,y):yle0}`

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KVPY PREVIOUS YEAR-MOCK TEST 4-EXERCISE
  1. Which of the following result is valid?

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  2. Consider a circle with its centre lying on the focus of the parabola, ...

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  3. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

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  4. If p, q, r are any real numbers, then (A) max (p, q) lt max (p, q, r)...

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  5. If (log)2(a+b)+(log)2(c+d)geq4. Then find the minimum value of the exp...

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  6. lf r1 and r2 are the distances of points on the curve 10(ZbarZ)-3i(Z^2...

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  7. Let f be a real valued function satisfying f(x)+f(x+6)=f(x+3)+f(x+9).T...

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  8. If an = sqrt(7+ sqrt( 7+sqrt7+ ....... ))) having n radical signs then...

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  9. Let sum(r=1)^n(r^4) = f(n). Then sum(r =1)^n (2r-1)^4 is equal to :

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  10. A hat contains a number of cards with 30% white on both sides, 50% ...

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  11. If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

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  12. The minimum value of px+py when xy=r^(2) is equal to

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  13. Let z1,z2 be two complex numbers represented by points on the circle|z...

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  14. Let A be a set consisting of n elements. The probability of selecting ...

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  15. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

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  16. The general solution of the trigonometric equation sinx+cosx=1 is give...

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  17. Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[...

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  18. The total number of distinct x in (0,1] for which underset(0)overset...

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  19. P(a, b) is a point in the first quadrant Circles are drawn through P t...

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  20. Given that n is odd, number of ways in which three numbers in AP can b...

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