Home
Class 12
MATHS
If f(x)=3x-2 and g(x)=2x+a and if fog=go...

If `f(x)=3x-2` and `g(x)=2x+a` and if `fog=gof`, then find the value of a

Text Solution

Verified by Experts

The correct Answer is:
c
The plane is given by
`" "-(x+1)- 7(y+2)+5(z+1)=0`
or `" "x+7y-5z+10=0`
`rArr" "` Distance `= (1+7-5+10)/(sqrt(75))= (13)/(sqrt(75))`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise (Numerical)|10 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Question Bank|12 Videos

  • TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS

    CENGAGE|Exercise Question Bank|4 Videos

Similar Questions

Explore conceptually related problems

If f(x)=3x-2, g(x)=2x+k and if fog=gof, then find the value of k.

If f(x)=ax-2, g(x)=2x-1 and if fog=gof then the value of 'a' is ____.

If f(x)=3+x and g(x)=x-4 , show that fog(x)=gof(x)

If f(x)=2x-3 and g(x)=x^2+x-2 , then gof(x) is

If f(x)=2x-x^(2) then find the value of f(1)=____.

If f(x)=2x^(2) and g(x)=(1)/(3x) . Then fog is

If f(x)=3+x , g(x)=x-4 show that fog=gof

If f , R rarr R defined by f (x) = 3x - 6 and g : R rarr R defined by g(x) = 3x + k if fog = gof then the value of k is ........... .

If f(x)=x+7 and g(x)=x−7,xϵR , then find fog(7).

CENGAGE-THREE-DIMENSIONAL GEOMETRY -JEE Previous Year
  1. If the two lines (x-1)/(2)=(y+1)/(3)=(z-1)/(4)and(x-3)/(1)=(y-m)/(2)=z...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. A plane passes through (1,-2,1) and is perpendicualr to two planes 2x...

    Text Solution

    |

  4. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. Two lines L1x=5, y/(3-alpha)=z/(-2)a n dL2: x=alphay/(-1)=z/(2-alpha) ...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. In R^(3) let L be straight line passing through the origin. Suppose t...

    Text Solution

    |

  12. In R(3) , consider the planes P(1):y=0and P(2) : x+z=1. Let P(3) ...

    Text Solution

    |

  13. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. Consider the line L 1 : (x +1)/3 = (y +2)/1 = (z+ 1)/2, L2 : (x-2)/1...

    Text Solution

    |

  16. Find the direction cosines of the vector 3hati+2hat j+hat k

    Text Solution

    |

  17. If f(x)=3x-2 and g(x)=2x+a and if fog=gof, then find the value of a

    Text Solution

    |

  18. Consider the linear equations ax+by+cz=0, bx+cy+az=0 and cx+ay+bz=0. ...

    Text Solution

    |

  19. Let f:R→R:f(x)=x^2 and g: R→R: g(x)=(x+1). Show that (gof)≠(fog).

    Text Solution

    |

  20. If the distance between the plane Ax 2y + z = d and the plane contain...

    Text Solution

    |