Maths-

General

Easy

Question

# The triangle formed by tangent to the parabola y = x^{2} at the point whose abscissa is x_{0} (where x_{0} [1, 2]), the y-axis and the straight line y = x_{0}^{2} has the greatest area if x_{0} is equal to-

- 0
- 1
- 2
- 3/2

## The correct answer is: 2

### Do yourself.

### Related Questions to study

maths-

### AB is a chord of the parabola y^{2} = 4ax with vertex at A. BC is drawn perpendicular to AB meeting the axis at C. The projection of BC on the x-axis is-

### AB is a chord of the parabola y^{2} = 4ax with vertex at A. BC is drawn perpendicular to AB meeting the axis at C. The projection of BC on the x-axis is-

maths-General

maths-

### If f (x) = and be the values of x, where f (f(x)) is not defined, then a ray of light parallel to the axis of the parabola y^{2} = 4x after reflection from the internal surface of the parabola will necessarily pass through the point.

### If f (x) = and be the values of x, where f (f(x)) is not defined, then a ray of light parallel to the axis of the parabola y^{2} = 4x after reflection from the internal surface of the parabola will necessarily pass through the point.

maths-General

maths-

### If the normal at three points (ap^{2}, 2ap), (aq^{2}, 2aq) and (ar^{2}, 2ar) are concurrent then the common root of equations px^{2} + qx + r = 0 and a(b – c) x^{2} + b (c – a) x + c(a – b) = 0 is

### If the normal at three points (ap^{2}, 2ap), (aq^{2}, 2aq) and (ar^{2}, 2ar) are concurrent then the common root of equations px^{2} + qx + r = 0 and a(b – c) x^{2} + b (c – a) x + c(a – b) = 0 is

maths-General

physics-

### A light rod carries three equal masses A, B and C as shown in figure. What will be velocity of B in vertical position of rod, if it is released from horizontal position as shown in figure?

### A light rod carries three equal masses A, B and C as shown in figure. What will be velocity of B in vertical position of rod, if it is released from horizontal position as shown in figure?

physics-General

physics-

### Figure shows the variation of the moment of inertia of a uniform rod, about an axis passing through its centre and inclined at an angle to the length. The moment of inertia of the rod about an axis passing through one of its ends and making an angle = will be

### Figure shows the variation of the moment of inertia of a uniform rod, about an axis passing through its centre and inclined at an angle to the length. The moment of inertia of the rod about an axis passing through one of its ends and making an angle = will be

physics-General

physics-

### A 2m long rod of negligible mass is free to rotate about its centre. An object of mass 5 kg is threaded into the rod at a distance of 50 cm from its end in such a way that the object can move without friction. The rod is then released from its horizontal position. The speed of the rod's end in the rod's vertical position is (in m/s)

### A 2m long rod of negligible mass is free to rotate about its centre. An object of mass 5 kg is threaded into the rod at a distance of 50 cm from its end in such a way that the object can move without friction. The rod is then released from its horizontal position. The speed of the rod's end in the rod's vertical position is (in m/s)

physics-General

physics-

### A uniform solid disc of mass 1 kg and radius 1m is kept on a rough horizontal surface. Two forces of magnitude 2 N and 4 N have been applied on the disc as shown in the figure. Linear acceleration of the centre of mass of the disc is if there is no slipping

### A uniform solid disc of mass 1 kg and radius 1m is kept on a rough horizontal surface. Two forces of magnitude 2 N and 4 N have been applied on the disc as shown in the figure. Linear acceleration of the centre of mass of the disc is if there is no slipping

physics-General

physics-

### A disc of radius R = 2m moves as shown in the figure, with a velocity of translation of of its centre of mass and an angular velocity of . The distance (in m) of instantaneous axis of rotation from its centre of mass is

### A disc of radius R = 2m moves as shown in the figure, with a velocity of translation of of its centre of mass and an angular velocity of . The distance (in m) of instantaneous axis of rotation from its centre of mass is

physics-General

physics-

### Three spools A, B and C are placed on rough ground and acted by equal force F. Then which of the following statement is incorrect?

### Three spools A, B and C are placed on rough ground and acted by equal force F. Then which of the following statement is incorrect?

physics-General

physics-

### A uniform thin stick of length and mass m is held horizontally with its end B hinged at a point B on the edge of a table. Point A is suddenly released. The acceleration of the centre of mass of the stick at the time of release, is :

### A uniform thin stick of length and mass m is held horizontally with its end B hinged at a point B on the edge of a table. Point A is suddenly released. The acceleration of the centre of mass of the stick at the time of release, is :

physics-General

physics-

### In given figure, the small block of mass 2m is released from rest when the string is in horizontal position, Find the tension in the string when the block has maximum velocity.

### In given figure, the small block of mass 2m is released from rest when the string is in horizontal position, Find the tension in the string when the block has maximum velocity.

physics-General

physics-

### In given figure, the small block of mass 2m is released from rest when the string is in horizontal position, Maximum possible velocity of ring of mass ‘m’ is (Assuming zero friction):

### In given figure, the small block of mass 2m is released from rest when the string is in horizontal position, Maximum possible velocity of ring of mass ‘m’ is (Assuming zero friction):

physics-General

physics-

### On producing the waves of frequency 1000 Hz in a Kundt’s tube, the total distance between 6 successive nodes is Speed of sound in the gas filled in the tube is

### On producing the waves of frequency 1000 Hz in a Kundt’s tube, the total distance between 6 successive nodes is Speed of sound in the gas filled in the tube is

physics-General

physics-

### In given figure, the small block of mass 2m is released from rest when the string is in horizontal position, Displacement of the ring when string makes an angle with the vertical will be:

### In given figure, the small block of mass 2m is released from rest when the string is in horizontal position, Displacement of the ring when string makes an angle with the vertical will be:

physics-General

physics-

### A smooth ball 'A' moving with velocity 'V' collides with another smooth identical ball at rest. After collision both the balls move with same speed with angle between their velocities No external force acts on the system of balls. The value of coefficient of restitution is

### A smooth ball 'A' moving with velocity 'V' collides with another smooth identical ball at rest. After collision both the balls move with same speed with angle between their velocities No external force acts on the system of balls. The value of coefficient of restitution is

physics-General