1
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
Out of Syllabus
The tangent to the circle C1 : x2 + y2 $$-$$ 2x $$-$$ 1 = 0 at the point (2, 1) cuts off a chord of length 4 from a circle C2 whose center is (3, $$-$$2). The radius of C2 is :
A
2
B
$$\sqrt 2$$
C
3
D
$$\sqrt 6$$
2
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
Tangents drawn from the point ($$-$$8, 0) to the parabola y2 = 8x touch the parabola at $$P$$ and $$Q.$$ If F is the focus of the parabola, then the area of the triangle PFQ (in sq. units) is equal to :
A
24
B
32
C
48
D
64
3
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
An angle between the lines whose direction cosines are gien by the equations,
$$l$$ + 3m + 5n = 0 and 5$$l$$m $$-$$ 2mn + 6n$$l$$ = 0, is :
A
$${\cos ^{ - 1}}\left( {{1 \over 3}} \right)$$
B
$${\cos ^{ - 1}}\left( {{1 \over 4}} \right)$$
C
$${\cos ^{ - 1}}\left( {{1 \over 6}} \right)$$
D
$${\cos ^{ - 1}}\left( {{1 \over 8}} \right)$$
4
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
Out of Syllabus
A normal to the hyperbola, 4x2 $$-$$ 9y2 = 36 meets the co-ordinate axes $$x$$ and y at A and B, respectively. If the parallelogram OABP (O being the origin) is formed, then the ocus of P is :
A
4x2 + 9y2 = 121
B
9x2 + 4y2 = 169
C
4x2 $$-$$ 9y2 = 121
D
9x2 $$-$$ 4y2 = 169
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