1

JEE Main 2021 (Online) 27th August Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let Z be the set of all integers,

$$A = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {y^2} \le 4\} $$

$$B = \{ (x,y) \in Z \times Z:{x^2} + {y^2} \le 4\} $$

$$C = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {(y - 2)^2} \le 4\} $$

If the total number of relation from A $$\cap$$ B to A $$\cap$$ C is 2

$$A = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {y^2} \le 4\} $$

$$B = \{ (x,y) \in Z \times Z:{x^2} + {y^2} \le 4\} $$

$$C = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {(y - 2)^2} \le 4\} $$

If the total number of relation from A $$\cap$$ B to A $$\cap$$ C is 2

^{p}, then the value of p is :2

JEE Main 2021 (Online) 26th August Evening Shift

MCQ (Single Correct Answer)

+4

-1

A circle C touches the line x = 2y at the point (2, 1) and intersects the circle

C

C

_{1}: x^{2}+ y^{2}+ 2y $$-$$ 5 = 0 at two points P and Q such that PQ is a diameter of C_{1}. Then the diameter of C is :3

JEE Main 2021 (Online) 26th August Morning Shift

MCQ (Single Correct Answer)

+4

-1

If a line along a chord of the circle 4x

^{2}+ 4y^{2}+ 120x + 675 = 0, passes through the point ($$-$$30, 0) and is tangent to the parabola y^{2}= 30x, then the length of this chord is :4

JEE Main 2021 (Online) 27th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

Consider a circle C which touches the y-axis at (0, 6) and cuts off an intercept $$6\sqrt 5 $$ on the x-axis. Then the radius of the circle C is equal to :

Questions Asked from Circle (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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