JEE Mains Question 8th April 2018 Set A Mathematic Part 6 Download all the papers for 2019 Exam

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Q-20 If the tangent at to the curve touches the circle than the value of c is:

Options:-

1.

2.

3.

4.

Answer: 4

Explanation:-

Curve

Equation of tangent at

…………………. (1)

Line (1) touches the circle

Title: - Mathematical Reasoning

Sub title: - Logical operations

Q-21 Tangent and normal are drawn at on the parabola , which intersect the axis of the parabola at A and B, respectively. If C is the centre of the circle through the points P, A and B and , then a value of is:

Options:-

1.

2. 2

3. 3

4.

Answer: 2

Explanation:-

Slope of tangent

Equation of tangent

………………….. (1)

Equation of normal

…………………….. (2)

Tangent & normal intersect the axis of parabola

- Circle through the points P,A and B

- Circle through the Points P,a and B

- Circle through the points P,A and B

AB is diameter of circle

Therefore centre

Title: - Mathematical Reasoning

Sub title: - Logical operations

Q-22 Tangents are drawn to the hyperbola at the points P and Q. if these tangents intersects at the point then the area (in sq. units) of is:

Options:-

1.

2.

3.

4.

Answer: 1

Explanation:-

Hyperbola

PQ is a chord of contact w.r.t

Equation of PQ

Intersect the hyperbola at P & Q

- Tangents of hyperbola at points P and Q

- Tangents of Hyperbola at Points P and Q

- Tangents of hyperbola at points P and Q

Title: - Coordinate Geometry

Sub title: - Hyperbola

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