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`

Text Solution

AI Generated Solution

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

The plane x- y - z = 2 is rotated through an angle pi/2 about its line of intersection with the plane x + 2y + z = 2 . Find its equation in the new position.

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

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

Show that the plane x-5y-2z =1 contains the line (x-5)/3 = y = 2- z

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

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

The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B, C : then the area of the DeltaABC is

Find the equation of the plane passing through the point (0,7,-7) and containing the line (x+1)/(-3)=(y-3)/2=(z+2)/1 .

Find the equation of the plane passing through the point(0, 7,-7) and containing the line (x+1)/(-3)=(y-3)/2=(z+2)/1

Find the equation of the plane containing the lines (x-5)/4=(y-7)/4=(z+3)/(-5)a n d(x-8)/7=(y-4)/1=(z-5)/3dot

RESONANCE DPP ENGLISH-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. about to only mathematics

    Text Solution

    |

  5. int(1)^(e^(37))(pisin(pilogx))/(x)dx equals to.

    Text Solution

    |

  6. From the point (lambda,3) tangents are drawn to x^(2)/9+y^(2)/4=1 and ...

    Text Solution

    |

  7. The mean deviation of the series a , a+d , a+2d ,.....,a+2n from its m...

    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+isintheta), prove that : " "(x-1)(x-3)+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. The probability that a leap year will have 53 Fridays or 3 Saturday...

    Text Solution

    |

  18. Let f(x): R^+ to R^+ is an invertible function such that f^(prime)(...

    Text Solution

    |

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

    Text Solution

    |

  20. If 10 objects are distributed at random among 10 persons, then find...

    Text Solution

    |