Home
Class 12
MATHS
If the planes vecr.(hati+hatj+hatk)=1, v...

If the planes `vecr.(hati+hatj+hatk)=1, vecr.(hati+2ahatj+hatk)=2 and vecr. (ahati+a^(2)hatj+hatk)=3` intersect in a line, then the possible number of real values of a is

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 19

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 25

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If the planes vecr.(hati+hatj+hatk)=q_(1),vecr.(hati+2ahatj+hatk)=q_(2)andvecr.(ahati+a^(2)hatj+hatk)=q_(3) intersect in a line, then the value of a is

If the planes vecr.(2hati-hatj+2hatk)=4 and vecr.(3hati+2hatj+lamda hatk)=3 are perpendicular then lamda=

The angle between the planes vecr.(2hati-hatj+hatk)=6 and vecr.(hati+hatj+2hatk)=5 is

The angles between the planes vecr.(3hati-6hatj+2hatk)=4 and vecr.(2hati-hatj+2hatk)=3 , is

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

The angle between the planes vecr. (2 hati - 3 hatj + hatk) =1 and vecr. (hati - hatj) =4 is

The distance between the planes given by vecr.(hati+2hatj-2hatk)+5=0 and vecr.(hati+2hatj-2hatk)-8=0 is

Find the angles between the planes vecr(hati-2hatj-2hatk)=1 and vecr(3hati-6hatj+2hatk)=0

Find the angle between the planes vecr.(hati+hatj-2hatk)=3 and vecr.(2hati-2hatj+hatk)=2

Find the angle between the planes vecr.(3hati-4hatj+5hatk)=0 and vecr.(2hati-hatj-2hatk)=7 .

NTA MOCK TESTS-NTA JEE MOCK TEST 22-MATHEMATICS
  1. The equation kx^(2)+x+k=0 and kx^(2)+kx+1=0 have exactly one root in c...

    Text Solution

    |

  2. The terms tan80^(@), tan70^(@)+tan10^(@) and tan10^(@) are in

    Text Solution

    |

  3. If a^2 + b = 2, then maximum value of the term independent of x in the...

    Text Solution

    |

  4. The number of even numbers of four digits that can be formed using the...

    Text Solution

    |

  5. If f:R rarrA defined as f(x)=tan^(-1)(sqrt(4(x^(2)+x+1))) is surjectiv...

    Text Solution

    |

  6. If the line y=x-1 bisects two chords of the parabola y^(2)=4bx which a...

    Text Solution

    |

  7. The centre of the circule passing through the points of intersection o...

    Text Solution

    |

  8. If x=sect+tant and y=sect - tant, where t is a parameter, then the val...

    Text Solution

    |

  9. Let p, q and r be three statements. Consider two compound statements ...

    Text Solution

    |

  10. Let the equations of side BC and the internal angle bisector of angle ...

    Text Solution

    |

  11. The mean and variance of 20 observations are found to be 10 and 4 resp...

    Text Solution

    |

  12. A box contains 9 slips bearing numbers -3, -2, -1, 0, 1, 2, 3, 4 and 5...

    Text Solution

    |

  13. If A and B are non - singular matrices of order three such that adj(AB...

    Text Solution

    |

  14. If the planes vecr.(hati+hatj+hatk)=1, vecr.(hati+2ahatj+hatk)=2 and v...

    Text Solution

    |

  15. The value of lim(xrarr1^(-))(sqrtpi-sqrt(4tan^(-1)x))/(sqrt(1-x)) is e...

    Text Solution

    |

  16. The area (in sq. units) bounded by the curve y=max. (x^(3), x^(4)) and...

    Text Solution

    |

  17. A vertical tower subtends an angle of 60^(@) at a point on the same le...

    Text Solution

    |

  18. If the arguments of (1-i)(sqrt3+i)(1+sqrt3i) and (Z-2)(barZ-1) are equ...

    Text Solution

    |

  19. Let veca=hati+2hatj+3hatk, vecb=2hati+3hatj+hatk, vecc=hatk+hati and (...

    Text Solution

    |

  20. Let f(x)={{:(a,","x=(pi)/(2)),((sqrt(2x-pi))/(sqrt(9+sqrt(2x-pi))-b),"...

    Text Solution

    |