IIT-JEE 2005 Screening | Circle Question 35 | Mathematics

IIT-JEE 2005 Screening

MCQ (Single Correct Answer)

-0.5

A circle is given by $${x^2}\, + \,{(y\, - \,1\,)^2}\, = \,1$$, another circle C touches it externally and also the x-axis, then thelocus of its centre is

$$\{ (x,\,y):\,\,{x^2} = \,4y\} \, \cup \,\{ (x,\,y):\,\,y \le \,0\,\} $$

$$\{ (x,\,y):\,\,{x^2} + \,{(y\, - \,1)^2}\, = \,4\} \, \cup \,\{ (x,\,\,y):\,\,y \le \,0\,\} $$

$$\{ (x,\,y):\,\,{x^2} = \,y\} \, \cup \,\{ (0,\,\,y):\,\,y \le \,0\,\} $$

$$\{ (x,\,y):\,\,{x^2} = \,4y\} \, \cup \,\{ (0,\,\,y):\,\,y \le \,0\,\} $$

IIT-JEE 2005 Mains

MCQ (Single Correct Answer)

-1

Circles with radii 3, 4 and 5 touch each other externally if P is the point of intersection of tangents to these circles at their points of contact. Find the distance of P from the point of contact.

$$\sqrt3$$

$$\sqrt5$$

IIT-JEE 2004 Screening

MCQ (Single Correct Answer)

-0.5

If one of the diameters of the circle $${x^2} + {y^2} - 2x - 6y + 6 = 0$$ is a chord to the circle with centre (2, 1), then the radius of the circle is

$${\sqrt 3 }$$

$${\sqrt 2 }$$

IIT-JEE 2003 Screening

MCQ (Single Correct Answer)

-0.5

The centre of circle inscibed in square formed by the lines $${x^2} - 8x + 12 = 0\,\,and\,{y^2} - 14y + 45 = 0$$, is

(4, 7)

(7, 4)

(9, 4)

(4, 9)

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