Maths-

General

Easy

Question

# Angle between tangents drawn from (1, 4) to parabola y^{2} = 4x is

- /2
- /3
- /6
- /4

## The correct answer is: /3

### To find angle between tangents.

The equation of the tangent is y = mx + 1/m.

It passes through the point (1, 4).

m1 + m2 = 4, m1m2 = 1

|m1 – m2| = 2

tan θ = 2 / 2 =

θ = /3

Therefore, the angle between tangents is /3

### Related Questions to study

maths-

### Let y^{2} = 4ax be parabola and PQ be a focal chord of parabola. Let T be the point of intersection of tangents at P and Q. Then

### Let y^{2} = 4ax be parabola and PQ be a focal chord of parabola. Let T be the point of intersection of tangents at P and Q. Then

maths-General

maths-

### If the line 2x – 1 = 0 is the derectrix of the parabola y^{2} – kx + 6 = 0 then one of the value of K is -

### If the line 2x – 1 = 0 is the derectrix of the parabola y^{2} – kx + 6 = 0 then one of the value of K is -

maths-General

maths-

### If a double ordinate of the parabola y^{2} = 4ax be of length 8a, then the angle between the lines joining the vertex of the parabola to the ends of this double ordinate is

### If a double ordinate of the parabola y^{2} = 4ax be of length 8a, then the angle between the lines joining the vertex of the parabola to the ends of this double ordinate is

maths-General

maths-

### Tangents are drawn from a point P to the parabola y^{2} = 8x such that the slope of one tangent is twice the slope of other. The locus of P is

### Tangents are drawn from a point P to the parabola y^{2} = 8x such that the slope of one tangent is twice the slope of other. The locus of P is

maths-General

physics-

### In the adjoining figure along which axis the moment of inertia of the triangular lamina will be maximum- [Given that

### In the adjoining figure along which axis the moment of inertia of the triangular lamina will be maximum- [Given that

physics-General

physics-

### Three particles, each of mass m are situated at the vertices of an equilateral triangle ABC of side cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram units will be :

### Three particles, each of mass m are situated at the vertices of an equilateral triangle ABC of side cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram units will be :

physics-General

Maths-

### The locus of the middle points of chords of a parabola which subtend a right angle at the vertex of the parabola is

### The locus of the middle points of chords of a parabola which subtend a right angle at the vertex of the parabola is

Maths-General

maths-

### If the parabola y^{2} = 4ax passes through (3, 2), then length of latus rectum of the parabola is

### If the parabola y^{2} = 4ax passes through (3, 2), then length of latus rectum of the parabola is

maths-General

maths-

### The locus of the poles of focal chord of the parabola y^{2} = 4ax is

### The locus of the poles of focal chord of the parabola y^{2} = 4ax is

maths-General

maths-

### The locus of the mid points of the chords of the parabola y^{2} = 4ax which passes through a given point (β,)

### The locus of the mid points of the chords of the parabola y^{2} = 4ax which passes through a given point (β,)

maths-General

maths-

### The equation of common tangent to the curves y^{2} = 8x and xy = –1 is

### The equation of common tangent to the curves y^{2} = 8x and xy = –1 is

maths-General

maths-

### Angle between tangents drawn from the point (1, 4) to the parabola y^{2} = 4x is

### Angle between tangents drawn from the point (1, 4) to the parabola y^{2} = 4x is

maths-General

maths-

### The general equation of 2nd degree 9x^{2} –24xy + 16y^{2} – 20x –15y – 60 = 0 represents

### The general equation of 2nd degree 9x^{2} –24xy + 16y^{2} – 20x –15y – 60 = 0 represents

maths-General

maths-

### If (2, 0) is the vertex and y-axis is the directrix of the parabola then its focus is

### If (2, 0) is the vertex and y-axis is the directrix of the parabola then its focus is

maths-General

maths-

### The equation of directrix of the parabola y^{2} + 4y + 4x + 2 = 0 is

### The equation of directrix of the parabola y^{2} + 4y + 4x + 2 = 0 is

maths-General