JEE Main 2019 (Online) 9th April Morning Slot | Conic Sections Question 154 | Mathematics

JEE Main 2019 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

-1

If the line y = mx + 7$$\sqrt 3 $$ is normal to the hyperbola $${{{x^2}} \over {24}} - {{{y^2}} \over {18}} = 1$$ , then a value of m is

$${3 \over {\sqrt 5 }}$$

$${{\sqrt 15 } \over 2}$$

$${{\sqrt 5 } \over 2}$$

$${2 \over {\sqrt 5 }}$$

JEE Main 2019 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

-1

If one end of a focal chord of the parabola, y² = 16x is at (1, 4), then the length of this focal chord is

JEE Main 2019 (Online) 8th April Evening Slot

MCQ (Single Correct Answer)

-1

If the eccentricity of the standard hyperbola passing through the point (4,6) is 2, then the equation of the tangent to the hyperbola at (4,6) is

2x – y – 2 = 0

3x – 2y = 0

2x – 3y + 10 = 0

x – 2y + 8 = 0

JEE Main 2019 (Online) 8th April Evening Slot

MCQ (Single Correct Answer)

-1

The tangent to the parabola y² = 4x at the point where it intersects the circle x² + y² = 5 in the first quadrant, passes through the point :

$$\left( { - {1 \over 4},{1 \over 2}} \right)$$

$$\left( { - {1 \over 3},{4 \over 3}} \right)$$

$$\left( { {3 \over 4},{7 \over 4}} \right)$$

$$\left( { {1 \over 4},{3 \over 4}} \right)$$

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