Maths-

General

Easy

Question

# If the line x + y = 1 touches the parabola y^{2} – y + x = 0 and h = value of x where | x | is not differentiable, k = cos^{2n}x, where . then the point of contact is

- (h, h)
- (h, k)
- (k, h)
- (k, k)

## The correct answer is: (h, k)

### h = 0 where |x| is non differentiable

k = 1. POC: (h, k)

### Related Questions to study

maths-

### Two parabolas y^{2} = 4a (x –λ_{1}) and x^{2} = 4a (y –_{2}) always touch each other, 1 and λ _{2} being variable parameters. Then, their points of contact lie on a

### Two parabolas y^{2} = 4a (x –λ_{1}) and x^{2} = 4a (y –_{2}) always touch each other, 1 and λ _{2} being variable parameters. Then, their points of contact lie on a

maths-General

maths-

### If t_{1} and t_{2} be the ends of a focal chord of the parabola y^{2} = 4ax, then the equation t_{1}x^{2} + ax + t_{2} = 0 has

### If t_{1} and t_{2} be the ends of a focal chord of the parabola y^{2} = 4ax, then the equation t_{1}x^{2} + ax + t_{2} = 0 has

maths-General

maths-

### If two distinct chords drawn from the point (4, 4) on the parabola y^{2} = 4ax are bisected on the line y = mx, then the set of value of m is given by -

### If two distinct chords drawn from the point (4, 4) on the parabola y^{2} = 4ax are bisected on the line y = mx, then the set of value of m is given by -

maths-General

maths-

### If normal at point P on parabola y^{2} = 4ax, (a > 0) meet it again at Q is such a way that OQ is of minimum length where O is vertex of parabola, then ΔOPQ is

### If normal at point P on parabola y^{2} = 4ax, (a > 0) meet it again at Q is such a way that OQ is of minimum length where O is vertex of parabola, then ΔOPQ is

maths-General

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-

### The locus of point ‘P’ where the three normals drawn from it on the parabola y^{2} = 4ax are such that two of them make complementary angles with x-axis is

### The locus of point ‘P’ where the three normals drawn from it on the parabola y^{2} = 4ax are such that two of them make complementary angles with x-axis is

maths-General

maths-

### The abcissa and ordinate of the end points A and B of a focal chord of the parabola y^{2} = 4x are respectively the roots of x^{2} – 3x + a = 0 and y^{2} + 6y + b = 0. The equation of the circle with AB as diameter is.

### The abcissa and ordinate of the end points A and B of a focal chord of the parabola y^{2} = 4x are respectively the roots of x^{2} – 3x + a = 0 and y^{2} + 6y + b = 0. The equation of the circle with AB as diameter is.

maths-General

physics-

### A particle of mass m is moving along the side of a square of side 'a', with a uniform speed in the x-y plane as shown in the figure: Which of the following statements is false for the angular momentum L about the origin?

### A particle of mass m is moving along the side of a square of side 'a', with a uniform speed in the x-y plane as shown in the figure: Which of the following statements is false for the angular momentum L about the origin?

physics-General

physics-

### A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C

### A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C

physics-General

physics-

### The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant k and compresses it by length L. The maximum momentum of the block after collision is

### The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant k and compresses it by length L. The maximum momentum of the block after collision is

physics-General

physics-

### A 1 kg block is given a velocity of 15 m/s towards right over a very long rough plank of mass 2 kg as shown in figure Momentum of both the blocks are equal at time t = ....seconds :

### A 1 kg block is given a velocity of 15 m/s towards right over a very long rough plank of mass 2 kg as shown in figure Momentum of both the blocks are equal at time t = ....seconds :

physics-General

physics-

### A 1 kg block is given a velocity of 15 m/s towards right over a very long rough plank of mass 2 kg as shown in figure. If coefficient of friction between the two blocks is equal to 0.4, then magnitude of initial slope of versus t and versus t (in SI unit) will be :–

### A 1 kg block is given a velocity of 15 m/s towards right over a very long rough plank of mass 2 kg as shown in figure. If coefficient of friction between the two blocks is equal to 0.4, then magnitude of initial slope of versus t and versus t (in SI unit) will be :–

physics-General

physics-

### A 1 kg block is given a velocity of 15 m/s towards right over a very long rough plank of mass 2 kg as shown in figure. The correct graph showing linear momentum of 1 kg (i.e. ) and of 2kg (i.e. ) versus time is

### A 1 kg block is given a velocity of 15 m/s towards right over a very long rough plank of mass 2 kg as shown in figure. The correct graph showing linear momentum of 1 kg (i.e. ) and of 2kg (i.e. ) versus time is

physics-General

physics-

### Two blocks of equal mass m are connected by an unstretched spring and the system is kept at rest on a frictionless horizontal surface. A constant force F is applied on the first block pulling it away from the other as shown in figure. If the extension of the spring is at time t, then the displacement of the second block at this instant is :-

### Two blocks of equal mass m are connected by an unstretched spring and the system is kept at rest on a frictionless horizontal surface. A constant force F is applied on the first block pulling it away from the other as shown in figure. If the extension of the spring is at time t, then the displacement of the second block at this instant is :-

physics-General

physics-

### Two blocks of equal mass m are connected by an Un stretched spring and the system is kept at rest on a frictionless horizontal surface. A constant force F is applied on the first block pulling it away from the other as shown in figure. If the extension of the spring is at time t, then the displacement of the first block at this instant is :

### Two blocks of equal mass m are connected by an Un stretched spring and the system is kept at rest on a frictionless horizontal surface. A constant force F is applied on the first block pulling it away from the other as shown in figure. If the extension of the spring is at time t, then the displacement of the first block at this instant is :

physics-General