1
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The angle between a pair of tangents drawn from a point P to the circle x2 + y2 + 4x $$-$$ 6y + 9sin2$$\alpha$$ + 13cos2$$\alpha$$ = 0 is 2$$\alpha$$. The equation of the locus of the point P is
A
x2 + y2 + 4x + 6y + 9 = 0
B
x2 + y2 $$-$$ 4x + 6y + 9 = 0
C
x2 + y2 $$-$$ 4x $$-$$ 6y + 9 = 0
D
x2 + y2 + 4x $$-$$ 6y + 9 = 0
2
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If one of the diameter of the circle, given by the equation x2 + y2 + 4x + 6y $$-$$ 12 = 0, is a chord of a circle S, whose centre is (2, $$-$$ 3), the radius of S is
A
$$\sqrt {41} $$ unit
B
3$$\sqrt {5} $$ unit
C
5$$\sqrt {2} $$ unit
D
2$$\sqrt {5} $$ unit
3
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
A chord AB is drawn from the point A(0, 3) on the circle x2 + 4x + (y $$-$$ 3)2 = 0, and is extended to M such that AM = 2AB. The locus of M is
A
x2 + y2 $$-$$ 8x $$-$$ 6y + 9 = 0
B
x2 + y2 + 8x + 6y + 9 = 0
C
x2 + y2 + 8x $$-$$ 6y + 9 = 0
D
x2 + y2 $$-$$ 8x + 6y + 9 = 0
4
WB JEE 2018
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let A be the centre of the circle $${x^2} + {y^2} - 2x - 4y - 20 = 0$$. Let B(1, 7) and D(4, $$-$$2) be two points on the circle such that tangents at B and D meet at C. The area of the quadrilateral ABCD is
A
150 sq units
B
50 sq units
C
75 sq units
D
70 sq units
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