Home
Class 12
MATHS
A rigid body rotates about an axis throu...

A rigid body rotates about an axis through the orign with angular velocity `103` radian/sec. If `omega` points in the direction ` hat i+ hat j+ hat k` then the equation to the locus of the points having tangential speed 20m/sec. is `x^2+y^2+z^2-x y-y z-1=0` b. `x^2+y^2+z^2-2x y-2y z-1=0` c. `x^2+y^2+z^2-x y-y z-2=0` d. `x^2+y^2+z^2-2x y-2y z-2=0`

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

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+x y z=0 x^2+y^2+z^2+2x y z=0 x^2+y^2+z^2+x y z=1 x^2+y^2+z^2+2x y z=1

Multiply: x^2+y^2+z^2-x y+x z+y z\ by x+y-z

Multiply: x^2+4y^2+z^2+2x y+x z-2y z\ by x-2y-z

Multiply: x^2+4y^2+z^2+2x y+x z-2y z\ by x-2y-z

What should be added to x y+y z+z x to get x y-y z-z x ? (a) -2x y-2y z-2z x (b) -3x y-y z-z x (c) -3x y-3y z-3z x (d) 2x y+2y z+2z x

Multiply each of the monomial : 3/4x^2y z^2,\ 0. 5 x y^2z^2,\ 1. 16 x^2y z^3,\ 2x y z

Find the values of x, y and z so that the vectors vec a=x hat i+2 hat j+z hat k and vec b=2 hat i+y hat j+ hat k are equal.

find the value of x,y and z so that the vectors vec a= x hat i+ 2 hat j+z hat k and vec b = 2 hat i +y hat j +hat k are equal

The locus of point such that the sum of the squares of its distances from the planes x+y+z=0, x-z=0 and x-2y+z=0 is 9 is (A) x^2+y^2+z^2=3 (B) x^2+y^2+z^2=6 (C) x^2+y^2+z^2=9 (D) x^2+y^2+z^2=12

If |y z-x^2z x-y^2x y-z^2x z-y^2x y-z^2y z-x^2x y-z^2y z-x^2z x-y^2|=|r^2u^2u^2u^2r^2u^2u^2u^2r^2| , where r^2=x^2+y^2+z^2 & u^2= x y + y z+z x

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The complex number sinx+icos2x and cosx-isin2x are conjugate to each o...

    Text Solution

    |

  2. The circumference of the circle x^2+y^2-2x+8y-q=0 is bisected by the c...

    Text Solution

    |

  3. A rigid body rotates about an axis through the orign with angular v...

    Text Solution

    |

  4. Which one of the following is not a contradiction? [~ p^^(pvv~ q)]^^q ...

    Text Solution

    |

  5. (a^4-1)x^2-(a^2+1)(sin^(-1)sin^3 2)x+(cos^(-1)cos2)(a^2-1)=0 . Find th...

    Text Solution

    |

  6. Let x and y be positive real numbers and theta an angle such that ...

    Text Solution

    |

  7. If ("lim")(tvecx)(e^tf(x)-e^xf(t))/((t-x)(f(x))^2)=2a n df(0)=1/2, the...

    Text Solution

    |

  8. The tangent to y = ax ^(2)+ bx + (7 )/(2) at (1,2) is parallel to the ...

    Text Solution

    |

  9. Q. int0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I

    Text Solution

    |

  10. If the line -> r=\ ( hat i-2 hat j+ hat k)+lambda(2 hat i+ hat j+2 ha...

    Text Solution

    |

  11. If I=intdx/(x^4sqrt(a^2+x^2)),t h e nI equals 1/(a^4)[1/xsqrt(a^2+x^2...

    Text Solution

    |

  12. If f(x)={[e^x+a, xlt0],[x-3, xge0]}, is differentiable at x=0, then...

    Text Solution

    |

  13. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

    Text Solution

    |

  14. A function y-f (x) satisfies the differential equation f (x) sin 2x ...

    Text Solution

    |

  15. If alpha,beta , are roots of the equation x^2+x sqrt(alpha)+beta=0 the...

    Text Solution

    |

  16. Let A=int(0)^(1)(e^(x))/(x+1) dx then answer the following questions i...

    Text Solution

    |

  17. 16 players P1,P2,P3,.. P16 take part in a tennis tounament. Lower suff...

    Text Solution

    |

  18. A card is lost from a pack of 52 playing cards. From the remainder of ...

    Text Solution

    |

  19. A normal is drawn at a point P(x , y) of a curve. It meets the x-axis ...

    Text Solution

    |

  20. If f(x)=cos^(-1)(sgn((2[x])/(3x-[x]))), where sgn ( ) denotes the sign...

    Text Solution

    |