1

JEE Advanced 2018 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

Let T be the line passing through the points P($$-$$2, 7) and Q(2, $$-$$5). Let F

_{1}be the set of al pairs of circles (S_{1}, S_{2}) such that T is tangent to S_{1}at P and tangent to S_{2}at Q, and also such that S_{1}and S_{2}touch each other at a point, say M. Let E_{1}be the set representing the locus of M as the pair (S_{1}, S_{2}) varies in F_{1}. Let the set of all straight line segments joining a pair of distinct points of E_{1}and passing through the point R(1, 1) be F_{2}. Let E_{2}be the set of the mid-points of the line segments in the set F_{2}. Then, which of the following statement(s) is (are) TRUE?2

JEE Advanced 2018 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

Consider two straight lines, each of which is tangent to both the circle x

^{2}+ y^{2}= (1/2) and the parabola y^{2}= 4x. Let these lines intersect at the point Q. Consider the ellipse whose centre is at the origin O(0, 0) and whose semi-major axis is OQ. If the length of the minor axis of this ellipse is $$\sqrt 2 $$, then which of the following statement(s) is (are) TRUE?3

JEE Advanced 2017 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

If $$2x - y + 1 = 0$$ is a tangent to the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {16}} = 1$$ then which of the following CANNOT be sides of a right angled triangle?

4

JEE Advanced 2017 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

If a chord, which is not a tangent, of the parabola y

^{2}= 16x has the equation 2x + y = p, and mid-point (h, k), then which of the following is(are) possible value(s) of p, h and k?Questions Asked from Conic Sections (MCQ (Multiple Correct Answer))

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