Home
Class 12
MATHS
A particle moves along the parabola y=x^...

A particle moves along the parabola `y=x^(2)` in the first quadrant in such a way that its x-coordinate (measured in metres) increases at a rate of 10 m/sec. If the angle of inclination `theta` of the line joining the particle to the origin change, when x = 3 m, at the rate of k rad/sec., then the value of k is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

A particle moves along the curve y=x^(3/2) in the first quadrant in such a way that its distance from the origin increases at the rate of 11 units per second. Then the value of dx/dt when x=3 is given by

A particle moves along the curve y=(2/3)x^3+1. Find the points on the curve at which the y-coordinate is changing twice as fast as the x-coordinate

A particle moves along the curve y= (2/3)x^3+1 . Find the points on the curve at which the y-coordinate is changing twice as fast as the x-coordinate.

A particle moves along the curve 6y = x^(3)+2 . Find the points on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate

A particle moves along the cirve x^(2)+4=y . The points on the curve at which the y coordinates changes twice as fast as the x coordinate, is

A particle moves along the curve 12y=x^(3) . . Which coordinate changes at faster rate at x=10 ?

A particle moves along the straight line y=3x+5 . Which coordinate changes at faster rate?

A particle moves along a path y = ax^2 (where a is constant) in such a way that x-component of its velocity (u_x) remains constant. The acceleration of the particle is

A particle moves along the curve y=x^2+2xdot At what point(s) on the curve are the x and y coordinates of the particle changing at the same rate?

A particle moves along the curve y=x^2+2xdot At what point(s) on the curve are the x and y coordinates of the particle changing at the same rate?

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. int0^(pi/2) sin^3x/(sin^3x+cos^3x)dx

    Text Solution

    |

  2. The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12))...

    Text Solution

    |

  3. A particle moves along the parabola y=x^(2) in the first quadrant in s...

    Text Solution

    |

  4. The area bounded by y=3-|3-x| and y=(6)/(|x+1|) is

    Text Solution

    |

  5. If A B=A ,B A=B then (A+B)^n= (where n in N) (1)(A^2+B^2) (2) (A+B)...

    Text Solution

    |

  6. If sum(i=1)^5xi^2=40&sum(j=6)^(10)xj^2=20 and mean of x1,x2, ...,x5 ...

    Text Solution

    |

  7. In any triangle ABC (with usual notation), Let cotA=sqrt(a c),cot B=s...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. If a,b,c epsilonQ then roots of the equation (b+c-2a)x^(2)+(c+a-2b)x+(...

    Text Solution

    |

  10. Coefficient of variation of two distributions are 60% and 70% and thei...

    Text Solution

    |

  11. If a^(2)+b^(2)+c^(2)+ab+bc+ca le 0 AA a,b,c in R, then value of the de...

    Text Solution

    |

  12. A tower subtends angles alpha,2alpha,3alpha respectively, at point A ,...

    Text Solution

    |

  13. Show that tan^(-1) (1/2) +tan^(-1) (1/8) = tan^(-1) (3/4) - tan^(-1)...

    Text Solution

    |

  14. A boy has 3 library tickets and books of his interest in the library. ...

    Text Solution

    |

  15. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

    Text Solution

    |

  16. Which of the following correspondences can not be called a function ...

    Text Solution

    |

  17. 2f(x/2)+3f((2-x)/3)=g(x),0lt=x<3, f^(x)>0; If g(x) is strictly increa...

    Text Solution

    |

  18. Determine the matrices A and B where A + 2B = [(1, 2, 0), (6, -3, 3),...

    Text Solution

    |

  19. If the equation x^(5)-10a^(3)x^(2)+b^(4)x+c^(5)=0 has three equal root...

    Text Solution

    |

  20. If f(x) and g(x) are two polynomilas such that the polynomial h(x)=xf(...

    Text Solution

    |