Maths-

General

Easy

### Question

#### The tangent at (, – ) on the curve y = – meets the curve again at Q, then abscissa of Q must be -

- 1 + 2t
- 1 – 2t
- –1 –2t
- 2t – 1

### Hint:

Slope of tangent =

find equation of tangent at P, then find the intersection point of the tangent and curve by substituting the given values in the option, and whosoever satisfies the equation is the required point.

#### The correct answer is: 1 – 2t

#### Given : y = – and Point P(, – )

Equation of tangent at point P

Find intersection point of the tangent and the curve by equating values of y for curve and tangent

for x = 1-2t

## Book A Free Demo

+91

Grade*

Select Grade

### Related Questions to study

Maths-

#### If = 1 is a tangent to the curve x = 4t,y =, t R then -

#### If = 1 is a tangent to the curve x = 4t,y =, t R then -

Maths-General

Maths-

#### The line + = 1 touches the curve y = be-x/a at the point :

#### The line + = 1 touches the curve y = be-x/a at the point :

Maths-General

physics

#### An object moves in a straight line. It starts from the rest and its acceleration is . 2 ms^{2}.After reaching a certain point it comes back to the original point. In this movement its acceleration is -3 ms^{2}, till it comes to rest. The total time taken for the movement is 5 second. Calculate the maximum velocity.

#### An object moves in a straight line. It starts from the rest and its acceleration is . 2 ms^{2}.After reaching a certain point it comes back to the original point. In this movement its acceleration is -3 ms^{2}, till it comes to rest. The total time taken for the movement is 5 second. Calculate the maximum velocity.

physicsGeneral

Maths-

#### For the ellipse the foci are

#### For the ellipse the foci are

Maths-General

Maths-

#### For the ellipse , the latus rectum is

#### For the ellipse , the latus rectum is

Maths-General

Maths-

#### The sum of distances of any point on the ellipse 3 x^{2} + 4y^{2} = 24 from its foci is

#### The sum of distances of any point on the ellipse 3 x^{2} + 4y^{2} = 24 from its foci is

Maths-General

Maths-

#### The equations x = a represent

#### The equations x = a represent

Maths-General

Maths-

#### The equations x = a cos q, y = b sin q, 0 ≤ q < 2 p, a ≠ b, represent

#### The equations x = a cos q, y = b sin q, 0 ≤ q < 2 p, a ≠ b, represent

Maths-General

Maths-

#### The line y = 2x + c touches the ellipse if c is equal to

#### The line y = 2x + c touches the ellipse if c is equal to

Maths-General

Maths-

#### The eccentricity of the conic 3x^{2} + 4y^{2} = 24 is

#### The eccentricity of the conic 3x^{2} + 4y^{2} = 24 is

Maths-General

Maths-

#### The equation of the ellipse whose focus is (1, -1). directrix x – y – 3 = 0 and eccentricity is

#### The equation of the ellipse whose focus is (1, -1). directrix x – y – 3 = 0 and eccentricity is

Maths-General

Maths-

#### The equation ax^{2} + 2hxy + by^{2} + 2gx + 2fy + c = 0 represents an ellipse if

#### The equation ax^{2} + 2hxy + by^{2} + 2gx + 2fy + c = 0 represents an ellipse if

Maths-General

Maths-

#### On a new year day every student of a class sends a card to every other student. The postman delivers 600 cards. The number of students in the class are :

#### On a new year day every student of a class sends a card to every other student. The postman delivers 600 cards. The number of students in the class are :

Maths-General

Maths-

#### An ellipse has OB as a semi – minor axis, F, F¢ are its foci and the angle FBF¢ is a right angle. Then the eccentricity of the ellipse is

#### An ellipse has OB as a semi – minor axis, F, F¢ are its foci and the angle FBF¢ is a right angle. Then the eccentricity of the ellipse is

Maths-General

Maths-

#### The equation of the tangents drawn at the ends of the major axis of the ellipse 9x^{2} + 5y^{2} – 30y = 0 is

#### The equation of the tangents drawn at the ends of the major axis of the ellipse 9x^{2} + 5y^{2} – 30y = 0 is

Maths-General