Home
Class 12
MATHS
The plane x+2y+3z=7 is rotated about th...

The plane `x+2y+3z=7` is rotated about the line where it cut `y z` -plane by an angle `theta` . In the new position the plane contains the point `(-1,0,2)dot` Then `theta` a.`cos^(-1)1/7` b. `cos^(-1)6/7` c. `cos^(-1)(5/7)` d. `pi/2`

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

The plane 2x-2y+z=3 is rotated about its line of intersection with the xy -plane by an acute angle alpha .If the new position of the plane contains the point (3,1,1) ,then the value of cos alpha is equal to

If the plane x+y+z=1 is rotated through 90^(@) about its line of intersection with the plane x-2y+3z=0, the new position of the plane is

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

The plane 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with the plane 5x+3y+10z=25 . If the equation of the plane in its new position is x-4y+6z=K , then the value of K is

If theta is the angle between the planes 2x-y+2z=3 and 6x-2y+3z=5 , then cos theta=?

If the angle theta between Z-axis and the plane 3x-4y+5z+7=0 " is cos" ^(-1)(k),"then "k=

The plane x-y-z=2 is rotated through 90^(@) about its line of intersection with the plane x+2y+z=2 . The distance of (-1,-2,-1) from the plane in the new position is lamda sqrt(6/7) . Then the value of lamda is equal to

RESONANCE DPP-JEE MAINS-All Questions
  1. The centre of a square ABCD is at z0dot If A is z1 , then the centroid...

    Text Solution

    |

  2. The logically equivalent proposition of phArrq is (p^^q)vv(p^^q) b. (p...

    Text Solution

    |

  3. The plane x+2y+3z=7 is rotated about the line where it cut y z -plan...

    Text Solution

    |

  4. The common roots of the equation z^3+2z^2+2z+1=0 and z^(1985)+z^(100)+...

    Text Solution

    |

  5. The value of int1^(e^(37))(pi"sin"(piI nx))/x dx is 2 b. 4 c. e^(27) d...

    Text Solution

    |

  6. If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=...

    Text Solution

    |

  7. Mean deviation of the series a,a+d,a+2d,.......,a+2nd from its mean is...

    Text Solution

    |

  8. If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=...

    Text Solution

    |

  9. A class has tree teachers, Mr. X, Ms.Y and Mrs.Z and six students A, ...

    Text Solution

    |

  10. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

    Text Solution

    |

  11. If x+iy=3/(2+costheta +i sin theta), then show that x^2+y^2=4x-3

    Text Solution

    |

  12. In an examination, the marks for physics and chemistry papers are 25 e...

    Text Solution

    |

  13. Which one of the following triplets CANNOT be the angles made by a ...

    Text Solution

    |

  14. If |z1|=1,|z2|=2,|z3|=3,a n d|9z1z2+4z1z3+z2z3|=12 , then find the va...

    Text Solution

    |

  15. The total number of divisors of the number N=2^(5).3^(4).5^(10).7^(6) ...

    Text Solution

    |

  16. Find the equation of the plane passing through (3,4,-1), which is p...

    Text Solution

    |

  17. The order and degree of the differential equation sqrt((dy)/(dx))-4(dy...

    Text Solution

    |

  18. Find the probability that a leap year will have 53 Friday or 53 Sat...

    Text Solution

    |

  19. Let R41QEESf(x): RvecR^+ is an invertible function such that f^(pri...

    Text Solution

    |

  20. The equation of the plane containing the line (x-x1)/l=(y-y1)/m=(z-z1...

    Text Solution

    |