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|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|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=(4)/(3)x^(3)+5 . Find the points on the curve at which the y - coordinate changes as fast as the x - coordinate.

A particle moves along the curve y=x^(2)+2x. 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 = 4x^(2)+ 2 , then the point on the curve at which -y coordinates is changing 8 times as fast as the x-coordinate is

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 the straight line y= 3x+5 . Which coordinate changes at a faster rate ?

A particle moves along the curve x^(2)=2y . At what point, ordinate increases at the same rate as abscissa increases ?

An equilateral triangle's sides increase at the rate of 2cm/sec. If the area of its incircle increases at a rate of kcm^(2)//sec (when the length of the side is (6)/(pi)cm ), then the value of k is

RESONANCE DPP-JEE MAINS-All Questions
  1. The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12)...

    Text Solution

    |

  2. An ellipse (x^2)/(a^2)+(y^2)/(b^2)=1(a > b) passes through the point (...

    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) (A^2+B^2) (2) (A+B) A...

    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. Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a and le...

    Text Solution

    |

  8. The roots of the quadratic equation (a+b-2c)x^2-(2a-b-c)x+(a-2b+c)=0 a...

    Text Solution

    |

  9. Coefficient of variation of two distributions are 60 and 70, and th...

    Text Solution

    |

  10. If a^2+b^2+c^2+a b+b c+c alt=0AAa ,b ,c in R , then value of the dete...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. A boy has 3 library tickets and 8 books of his interest in the library...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If f(x) and g(x) are two polynomials such that the polynomial h(x)=x...

    Text Solution

    |

  19. Let a x+b y+c=0 be a variable straight line, whre a , ba n dc are the ...

    Text Solution

    |

  20. If f(x) be a twice differentiable function from RR rarr RR such that t...

    Text Solution

    |