Home
Class 12
MATHS
The vector equation of the plane passing...

The vector equation of the plane passing through the point (1, -1, 2) and having 2, 3, 2 as direction numbers of the normal to the plane is -

A

`vecr*(2hati+3hatj+2hatk)+4=0`

B

`vecr*(hati-hatj+2hatk)+(hati-hatj+hatk)*(2hati+3hatj+2hatk)=0`

C

`vecr*(2hati+3hatj+2hatk)+3=0`

D

`vecr*(2hati+3hatj+2hatk)=3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

The equation of the plane passing through the point (2,3,1) having 5,3,2 as the direction ratios of the normal to the plane is ___

The vector equation of the line passing through the points (2, -3, 1) and (-4, 3, 6) is -

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

Find the equation of the line Passing through the points (-1, 1) " and " (2, - 4) .

The equation of the plane passing through the point (2, -3, 5) and parallel to zx-plane is -

Find the equation of the plane passing through the points (2,1,0),(5,0,1) and (4,1,1) .

The equation of the plane passing through the points (1, -1, 2) and (2, -2, 2) and perpendicular to the plane 6x-2y+2z=10 is -

Find the vector equations of the plane passing through the points R (2,5,-3),S(-2,-3,5) and T (5,3,-3) .

The vector equation of the line passing through the point (3, -1, 2) and parallel to the vector 2hati-3hatj+4hatk is -

Find the equation of the plane passing through the points (3,1,1), (1-2,3) and parallel to y-axis.

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. The equation of the plane passing through the point (1, -2, 3) and per...

    Text Solution

    |

  2. The acute angle between the straight lines whose direction numbers ar...

    Text Solution

    |

  3. The vector equation of the plane passing through the point (1, -1, 2) ...

    Text Solution

    |

  4. If the vectors veca= 3x hati+4y hatj-12hatk and vecb=3x hati-4y hatj+1...

    Text Solution

    |

  5. If veca, vecb, vec c are three mutually perpendicular vectors and |vec...

    Text Solution

    |

  6. Find the range of the function f(x) =abs(x - 1) + abs(x - 2) , -1 le x...

    Text Solution

    |

  7. In the mean value theorem f(b)-f(a)=(b-a)f'(c )(a lt c lt b), "if " a=...

    Text Solution

    |

  8. The value of lim(x to 0) (27^(x)-9^(x)-3^(x)+1)/(log(e)(1+(x^(2))/(2)...

    Text Solution

    |

  9. The value of lim(x to 0) (1-3x)^((3)/(x)) is equal to -

    Text Solution

    |

  10. If x sqrt(1-y^(2))+y sqrt(1-x^(2))=k, then the value of (dy)/(dx) at...

    Text Solution

    |

  11. If x=a cot theta and y=(1)/(x^(2)+a^(2)), then the value of (d^(2)...

    Text Solution

    |

  12. If y=(sin^(-1)x)^(2)+(cos^(-1)x)^(2), then which of the following is...

    Text Solution

    |

  13. If y=e^(m sin^(-1)x), then the value of [(d^(2)y)/(dx^(2))](x=0) is ...

    Text Solution

    |

  14. If x sqrt(1+y)+y sqrt(1+x)=0 then the value of (dy)/(dx) is -

    Text Solution

    |

  15. If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)), then the ...

    Text Solution

    |

  16. If siny=x sin(a+y), then the value of (dy)/(dx) is -

    Text Solution

    |

  17. If y="tan"^(-1)(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(...

    Text Solution

    |

  18. If the equation a(n)x^(n)+a(n-1)x^(n-1)+…+a(1)x=0 (a(1) ne 0, n ge 2)...

    Text Solution

    |

  19. If x sin y+y cos x=pi, then the value of y''(0) is -

    Text Solution

    |

  20. Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1 and g(x) be ...

    Text Solution

    |