Home
Class 12
MATHS
If the planes x-cy-bz=0, cx-y+az=0 and b...

If the planes `x-cy-bz=0, cx-y+az=0 and bx+ay-z=0` pass through a line, then the value of `a^2+b^2+c^2+2abc` is

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

If the planes x-c y-b z=0,c x=y+a z=0a n db x+a y-z=0 pass through a straight line, then find the value of a^2+b^2+c^2+2a b cdot

If the planes x-c y-b z=0,c x=y+a z=0a n db x+a y-z=0 pass through a straight line, then find the value of a^2+b^2+c^2+2a b cdot

The planes ax+4y+z=0,2y+3z-1=0 and 3x-bz+2=0 will

If the three planes x=5,2x-5ay+3z-2=0 and 3bx+y-3z=0 contain a common line, then (a,b) is equal to

If 4x-ay+3z=0, x+2y+az=0 and ax+2z=0 have a non - trivial solution, then the number of real value(s) of a is

The variable plane x+3y+z-4+lambda(2x-y)=0 always passes through the line

If the equations ax^2+bx+c=0 and cx^2+bx+a=0, a!=c have a negative common root then the value of a-b+c=

Show that in general there are three values of t for which the following system of equations has a non- trival solution (a-t)x+by+cz=0, bx+(c-t)y+az=0 and cx+ay+(b-t)z=0. Express the product of these values of t in the form of a determinant.

The greatest value of for which the system of linear equations x-cy-cz=0 cx-y+cz=0 cx+cy-z=0 Has a non-trivial solution, is 1/k . The value of k is _________.

Given planes P_1:cy+bz=x P_2:az+cx=y P_3:bx+ay=z P_1, P_2 and P_3 pass through one line, if

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If vec a , vec b ,a n d vec c are three non-coplanar non-zero vec...

    Text Solution

    |

  2. A six-faced dice is so biased that it is twice as likely to show an ev...

    Text Solution

    |

  3. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  4. In a multiple choice question, there are four alternative answers of w...

    Text Solution

    |

  5. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

    Text Solution

    |

  6. The equation |{:((1+x)^(2),(1-x)^(2),-(2+x^(2))),(2x+1,3x,1-5x),(x+1,2...

    Text Solution

    |

  7. The equation of tangent drawn to the curve y^(2)-2x^(3)-4y+8=0 from th...

    Text Solution

    |

  8. If A and B are two sets, then A nn (A uu B) equals (A-B)uu(B-A)uu(AnnB...

    Text Solution

    |

  9. Let P be any point on the curve x^(2//3)+y^(2//3)=a^(2//3). Then the...

    Text Solution

    |

  10. Let R be a relation defined on the set of natural numbers N as R={...

    Text Solution

    |

  11. A lamp of negligible height is placed on the ground l1 away from a wal...

    Text Solution

    |

  12. If sinx+sin^2x=1," then the value of "cos^12x+3cos^10x+3cos^8x+cos^6x-...

    Text Solution

    |

  13. Value of (1-(cos61^0)/(cos1^0))*(1-(cos62^0)/(cos2^0))*(1-(cos63^0)/(c...

    Text Solution

    |

  14. e^(2x)-(a-1)e^x-a ge 0 AA x in R then the value of a will satisfy

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. If t a nalpha=5/2, tanbeta=-7/9 where alpha in [pi/2,pi] , then alph...

    Text Solution

    |

  17. Draw the graphs of y=|x+2|-|x-3|

    Text Solution

    |

  18. The point of intersection of tangent to the curve y=x^4 at (1,1) with ...

    Text Solution

    |

  19. If a^(2)+b^(2)+c^(2)+ab+bc+ca le 0 AA a,b,c in R, then value of the de...

    Text Solution

    |

  20. If a ,b , are the roots of the quadratic equation (sin2a)x^2-2(s in...

    Text Solution

    |