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Consider a family of circles which ar...

Consider a family of circles which are passing through the point `(-1,""1)` and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval (1) `0""<""k""<""` (2) `kgeq` (3) `-lt=klt=` (4) `klt=`

A

`-(1)/(2)lekle(1)/(2)`

B

`kle(1)/(2)`

C

`0lekle(1)/(2)`

D

`kge(1)/(2)`

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
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  3. A circle touches the x-axis and also touches the circle with center (...

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  4. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

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  6. ABCD is a square of side length 2 units. C(1) is the circle touching ...

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  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

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  8. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

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  9. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

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  10. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

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  11. Consider a family of circles which are passing through the point (-...

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  12. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  15. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

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  16. The point diametrically opposite to the point P(1, 0) on the circle x^...

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