Maths-
General
Easy

Question

Integral curve satisfying y to the power of straight prime equals fraction numerator x squared plus y squared over denominator x squared minus y squared end fraction comma y left parenthesis 1 right parenthesis equals 1 has the slope at the point (1, 0) of the curve, equal to :

  1. negative 5 over 3
  2. -1
  3. 1
  4. 5 over 3

hintHint:

In this question we have to find the slope at the point (1,0) of the given curve, for this we will replace the value of x and y with its given value.

The correct answer is: 1


    Given,y to the power of straight prime equals fraction numerator x squared plus y squared over denominator x squared minus y squared end fraction comma y left parenthesis 1 right parenthesis equals 1
    y to the power of straight prime equals fraction numerator x squared plus y squared over denominator x squared minus y squared end fraction
rightwards double arrow fraction numerator d y over denominator d x end fraction equals fraction numerator x squared plus y squared over denominator x squared minus y squared end fraction
rightwards double arrow open parentheses fraction numerator d y over denominator d x end fraction close parentheses subscript open parentheses 1 comma 0 close parentheses end subscript equals fraction numerator 1 squared plus 0 squared over denominator 1 squared minus 0 squared end fraction
space space space space space space space space space space space space space space space space space space space space space space equals 1 over 1 equals 1

    Related Questions to study

    General
    Maths-

    If integrating factor of x open parentheses 1 minus x squared close parentheses d y plus open parentheses 2 x squared y minus y minus a x cubed close parentheses d x is e to the power of JPdx then P is

    If integrating factor of x open parentheses 1 minus x squared close parentheses d y plus open parentheses 2 x squared y minus y minus a x cubed close parentheses d x is e to the power of JPdx then P is

    Maths-General
    General
    physics-

    Cathode rays are made to pass between the poles of a magnet as shown in figure The effect of magnetic field is

    Cathode rays are made to pass between the poles of a magnet as shown in figure The effect of magnetic field is

    physics-General
    General
    physics-

    A neutron, a proton, an electron and an alpha particle enter a region of constant magnetic field with equal velocities The magnetic field is along the inward normal to the plane of the paper The tracks of the particles are labled in the figure The electron follows ____ track and alpha particle follows track ______

    A neutron, a proton, an electron and an alpha particle enter a region of constant magnetic field with equal velocities The magnetic field is along the inward normal to the plane of the paper The tracks of the particles are labled in the figure The electron follows ____ track and alpha particle follows track ______

    physics-General
    parallel
    General
    physics-

    A graph regarding photoeletric effect is shown between the maximum kinetic energy of electrons and the frequency of the incident light On the basis of data as shown in the graph, calculate the work function

    A graph regarding photoeletric effect is shown between the maximum kinetic energy of electrons and the frequency of the incident light On the basis of data as shown in the graph, calculate the work function

    physics-General
    General
    physics-

    The graph between the stopiing potential open parentheses V subscript 0 end subscript close parenthesesand left parenthesis 1 divided by lambda right parenthesis is shown in figure, ϕ subscript 1 end subscript comma ϕ subscript 2 end subscriptand ϕ subscript 3 end subscript are work functions Which of the following is

    The graph between the stopiing potential open parentheses V subscript 0 end subscript close parenthesesand left parenthesis 1 divided by lambda right parenthesis is shown in figure, ϕ subscript 1 end subscript comma ϕ subscript 2 end subscriptand ϕ subscript 3 end subscript are work functions Which of the following is

    physics-General
    General
    Maths-

    The equation of circle which touches the line 5x + 12 y =1 and which has its centre at (3, 4) is:

    The equation of circle which touches the line 5x + 12 y =1 and which has its centre at (3, 4) is:

    Maths-General
    parallel
    General
    physics-

    1.
    2.
    3.
    4.
    Identify the wrong description of the above figures

    1.
    2.
    3.
    4.
    Identify the wrong description of the above figures

    physics-General
    General
    physics-

    Match the List I with the List II from the combinations shown

    Match the List I with the List II from the combinations shown

    physics-General
    General
    physics-

    The resolving limit of healthy eye is about

    The resolving limit of healthy eye is about

    physics-General
    parallel
    General
    physics-

    A person is suffering from myopic defect. He is able to see clear objects placed at 15 cm. What type and of what focal length of lens he should use to see clearly the object placed 60 cm away

    A person is suffering from myopic defect. He is able to see clear objects placed at 15 cm. What type and of what focal length of lens he should use to see clearly the object placed 60 cm away

    physics-General
    General
    physics-

    A ray of light is incident on an equilateral glass prism placed on a horizontal table. For minimum deviation which of the following is true

    A ray of light is incident on an equilateral glass prism placed on a horizontal table. For minimum deviation which of the following is true

    physics-General
    General
    physics-

    In the given figure, what is the angle of prism

    In the given figure, what is the angle of prism

    physics-General
    parallel
    General
    physics-

    A given ray of light suffers minimum deviation in an equilateral prism P. Additional prisms Q and R of identical shape and material are now added to P as shown in the figure. The ray will suffer

    A given ray of light suffers minimum deviation in an equilateral prism P. Additional prisms Q and R of identical shape and material are now added to P as shown in the figure. The ray will suffer

    physics-General
    General
    Physics-

    A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the point B. The angle theta at which the speed of the bob is half of that at A, satisfies

    A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the point B. The angle theta at which the speed of the bob is half of that at A, satisfies

    Physics-General
    General
    maths-

    The foot of the perpendicular on the line 3 x plus y equals lambda drown from the origin is C if the line cuts the x-axis and y-axis at A and B respectively then BC : CA is

    The foot of the perpendicular on the line 3 x plus y equals lambda drown from the origin is C if the line cuts the x-axis and y-axis at A and B respectively then BC : CA is

    maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.