AIEEE 2008 | Circle Question 144 | Mathematics | JEE Main - ExamSIDE.com

Joint Entrance Examination

Medical

Graduate Aptitude Test in Engineering

CBSE

1

AIEEE 2008

MCQ (Single Correct Answer)

+4

-1

The point diametrically opposite to the point $$P(1, 0)$$ on the circle $${x^2} + {y^2} + 2x + 4y - 3 = 0$$ is :

A

$$(3, -4)$$

B

$$(-3, 4)$$

C

$$(-3, -4)$$

D

$$(3, 4)$$

2

AIEEE 2008

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

The differential equation of the family of circles with fixed radius $$5$$ units and centre on the line $$y = 2$$ is :

A

$$\left( {x - 2} \right){y^2} = 25 - {\left( {y - 2} \right)^2}$$

B

$$\left( {y - 2} \right){y^2} = 25 - {\left( {y - 2} \right)^2}$$

C

$${\left( {y - 2} \right)^2}{y^2} = 25 - {\left( {y - 2} \right)^2}$$

D

$${\left( {x - 2} \right)^2}{y^2} = 25 - {\left( {y - 2} \right)^2}$$

3

AIEEE 2007

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

Consider a family of circles which are passing through the point $$(-1, 1)$$ and are tangent to $$x$$-axis. If $$(h, k)$$ are the coordinate of the centre of the circles, then the set of values of $$k$$ is given by the interval :

A

$$ - {1 \over 2} \le k \le {1 \over 2}$$

B

$$k \le {1 \over 2}$$

C

$$0 \le k \le {1 \over 2}$$

D

$$k \ge {1 \over 2}$$

4

AIEEE 2006

MCQ (Single Correct Answer)

+4

-1

If the lines $$3x - 4y - 7 = 0$$ and $$2x - 3y - 5 = 0$$ are two diameters of a circle of area $$49\pi $$ square units, the equation of the circle is :

A

$$\,{x^2} + {y^2} + 2x\, - 2y - 47 = 0\,$$

B

$$\,{x^2} + {y^2} + 2x\, - 2y - 62 = 0\,$$

C

$${x^2} + {y^2} - 2x\, + 2y - 62 = 0$$

D

$${x^2} + {y^2} - 2x\, + 2y - 47 = 0$$

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