JEE Main 2017 (Online) 8th April Morning Slot | Circle Question 104 | Mathematics

JEE Main 2017 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

-1

If a point P has co-ordinates (0, $$-$$2) and Q is any point on the circle, x² + y² $$-$$ 5x $$-$$ y + 5 = 0, then the maximum value of (PQ)² is :

$${{25 + \sqrt 6 } \over 2}$$

14 + $$5\sqrt 3 $$

$${{47 + 10\sqrt 6 } \over 2}$$

8 + 5$$\sqrt 3 $$

JEE Main 2017 (Offline)

MCQ (Single Correct Answer)

-1

The radius of a circle, having minimum area, which touches the curve y = 4 – x² and the lines, y = |x| is :

$$2\left( {\sqrt 2 - 1} \right)$$

$$4\left( {\sqrt 2 - 1} \right)$$

$$4\left( {\sqrt 2 + 1} \right)$$

$$2\left( {\sqrt 2 + 1} \right)$$

JEE Main 2016 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

-1

Equation of the tangent to the circle, at the point (1, −1), whose centre is the point of intersection of the straight lines x − y = 1 and 2x + y = 3 is :

4x + y − 3 = 0

x + 4y + 3 = 0

3x − y − 4 = 0

x − 3y − 4 = 0

JEE Main 2016 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

-1

A circle passes through (−2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle ?

4x + 5y − 6 = 0

2x − 3y + 10 = 0

3x + 4y − 3 = 0

5x + 2y + 4 = 0

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