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JEE 2020 Mathematics : Circle - 01 (03.09.2019)

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Question 1

The question has FOUR options. ONLY ONE of these four options is the correct answer.   
Equation of circle inscribed in |x – a| + |y – b| = 1 is

Question 2

The shortest distance of the point (2, –7) from a point lying on the circle  is

Question 3

Locus of the point given by the equations ,  is a

Question 4

ABCD is a square, the length of whose side is a. Taking AB and AD as the coordinate axes, the equation of the circle passing through the vertices of the square, is

Question 5

If the line 3x + 4y – 1 = 0 touches the circle (x – 1)2 + (y – 2)2 = r2, then the value of r will be

Question 6

The two points A and B in a plane are such that for all points P lies on circle satisfied PA/PB=k, then k will not be equal to

Question 7

The locus of a point which divides the join of A(–1, 1) and a variable point P on the circle x2 + y2 = 4 in the ratio 3 : 2, is

Question 8

A circle is inscribed in an equilateral triangle of side a, the area of any square inscribed in the circle is

Question 9

Equation of circle with centre (-a, -b) and radius Description: Description: image643.png is

Question 10

If the line x + 2ky + 3 = 0 is a diameter of the circle x2 + y2 – 6x + 2y = 0, then k is equal to
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Apr 24JEE & BITSAT