JEE Main 2017 (Online) 8th April Morning Slot | Conic Sections Question 193 | Mathematics

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JEE Main 2017 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

-1

Let z$$ \in $$C, the set of complex numbers. Then the equation, 2|z + 3i| $$-$$ |z $$-$$ i| = 0 represents :

a circle with radius $${8 \over 3}.$$

a circle with diameter $${{10} \over 3}.$$

an ellipse with length of major axis $${{16} \over 3}.$$

an ellipse with length of minor axis $${{16} \over 9}.$$

JEE Main 2017 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

-1

The locus of the point of intersection of the straight lines,

tx $$-$$ 2y $$-$$ 3t = 0

x $$-$$ 2ty + 3 = 0 (t $$ \in $$ R), is :

an ellipse with eccentricity $${2 \over {\sqrt 5 }}$$

an ellipse with the length of major axis 6

a hyperbola with eccentricity $$\sqrt 5 $$

a hyperbola with the length of conjugate axis 3

JEE Main 2017 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

-1

If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of the center and subtend angles $${\cos ^{ - 1}}\left( {{1 \over 7}} \right)$$ and sec^$$-$$1 (7) at the center respectivey, then the distance between these chords, is :

$${4 \over {\sqrt 7 }}$$

$${8 \over {\sqrt 7 }}$$

$${8 \over 7}$$

$${16 \over 7}$$

JEE Main 2017 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

-1

If the common tangents to the parabola, x² = 4y and the circle, x² + y² = 4 intersect at the point P, then the distance of P from the origin, is :

$$\sqrt 2 + 1$$

2(3 + 2 $$\sqrt 2 $$)

2($$\sqrt 2 $$ + 1)

3 + 2$$\sqrt 2 $$