Home
Class 12
MATHS
Find the equation of the plane passing t...

Find the equation of the plane passing through the line of intersection of the planes `vecr.(hati+hatj+hatk)=1 and vecr.(2hati+3hatj-hatk)+4=0` and parallel to x-axis.

A

`vecr *(hatj -3hatk) +6 =0`

B

`vecr *(hatj-3hatk) -6 =0`

C

`vecr*(hatj+3hatk) +6 =0`

D

`vecr*(hati -3hatk) +6 =0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+3hatj)-6=0 and vecr.(3hati-hatj-4hatk)=0 , whose perpendicular distance from the origin is unity.

Find the equation of the plane through the line of intersection of the planes vecr.(2hati-3hatj+4hatk)=1 and vecr.(hati-hatj)+4=0 and perpendicular to the plane vecr.(2hati-hatj+hatk)+8=0 .

The line of intersection of the planes vecr . (3 hati - hatj + hatk) =1 and vecr. (hati+ 4 hatj -2 hatk)=2 is:

Find the equation of a plane passing through the intersection of the planes vecr . (hati+3hatj-hatk) = 5 and vecr.(2hati-hatj+hatk) = 3 and passes through the point (2,1,-2) .

Find the vector equation of the plane passing through the intersection of the planes vecr.(hati+hatj+hatk)=6, vecr.(2hati+3hatj+4hatk)=-5 and the point (1,1,1) .

Find the equation of the plane passing through the intersection of the planes vecr.(2hati+hatj+3hatk)=7 , vecr.(2hati+5hatj+3hatk)=9 and the point (2,1,3) .

Find the equation of the plane passing through the intersection of the planes vecr.(2hati+hatj+3hatk)=7, vecr.(2hati+5hatj+3hatk)=9 and the point (3,2,-1) .

The equation of plane passing through the intersection of the planes barr.(hati+hatj+hatk)=2and barr.(2hati+3hatj+hatk)=4 and parallel to X - axis is

JEE MAINS PREVIOUS YEAR-APPLICATION OF DERIVATIVES-All Questions
  1. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  2. If p and q are positive real numbers such that p^2+""q^2=""1 , t...

    Text Solution

    |

  3. A value of C for which the conclusion of Mean Value Theorem holds f...

    Text Solution

    |

  4. The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...

    Text Solution

    |

  5. How many real solutions does the equation x^7+""14 x^5+""16 x^3+""3...

    Text Solution

    |

  6. Suppose the cube x^3""p x""+""q has three distinct real roots wh...

    Text Solution

    |

  7. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

    Text Solution

    |

  8. The shortest distance between the line yx=1 and the curve x=y^2 is ...

    Text Solution

    |

  9. Let f: R R be a continuous function defined by f(x)""=1/(e^x+2e^(-...

    Text Solution

    |

  10. Let f:""RrarrR be defined by f(x)={(k-2x , if xle-1),( 2x+3, if x gt...

    Text Solution

    |

  11. The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...

    Text Solution

    |

  12. The shortest distance between line y"-"x""=""1 and curve x""=""y^2 is ...

    Text Solution

    |

  13. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  14. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

    Text Solution

    |

  15. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  16. A bird is sitting on the top of a vertical pole 20 m high and its e...

    Text Solution

    |

  17. The normal to the curve, x^2+""2x y-3y^2=""0,""a t""(1,""1) : (1) ...

    Text Solution

    |

  18. Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...

    Text Solution

    |

  19. A wire of length 2 units is cut into two parts which are bent respe...

    Text Solution

    |

  20. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  21. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |