Home
Class 12
MATHS
If reflection of A(1, -10, 1) about the ...

If reflection of `A(1, -10, 1)` about the line `frac{x-1}{2} = frac{y-1}{3}=frac{z-2}{5}` is `(alpha, beta, gamma)` then the `|2 alpha + 3 beta + 5 gamma|` is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos

Similar Questions

Explore conceptually related problems

Let (alpha, beta, gamma) be the foot of perpendicular from the point (1, 2, 3,) on the line frac{x 3}{5} = frac{y - 1}{2} = frac{z 4}{3} then 19 (alpha beta gamma)

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

Mirror image of point (1,3,5) w.r.t plane 4x-5y+2z=8 is (alpha,beta,gamma) then 5(alpha+beta+gamma)

If the shortest distance between the lines frac{x - lambda} {-2} = frac{y - 2} {1} = frac{z - 1} {1} and frac{x - sqrt 3}{1} = frac{y-1}{-2} = frac{z-2}{1} is 1, then the sum of all possible values of lambda is :

If the mirror image of the point P(3, 4, 9) in the line (x-1)/3=(y+1)/2=(z-2)/1 is (alpha, beta) then the value of 14(alpha+beta+gamma) is.

If the roots of 4-3x+5x^2+x^3=0 are alpha,beta,gamma then the value of 1/alpha+1/beta+1/gamma= ________ .

If roots of x ^(3)+2x ^(2) +1=0 are alpha, beta and gamma, then the value of (alpha beta )^(3)+ (beta gamma ) ^(3) + (alpha gamma )^(3), is:

The foot of perpendicular from (1,2,6) to line (x-3)/(2)=(y+1)/(2)=(z-1)/(-1) is the point (alpha,beta,gamma) then (alpha+beta+gamma)=

If roots of x ^(3) +2x ^(2) +1=0 are alpha, beta and gamma, then the vlaue of (alpha beta)^(3) + (beta gamma )^(3) + (alpha gamma )^(3) , is :

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024-Questions
  1. If reflection of A(1, -10, 1) about the line frac{x-1}{2} = frac{y-1}{...

    Text Solution

    |

  2. If f(x)={(-2,,,-2,le,x, <,0),(x-2,,,0,le,x, le,2):} and h(x) = f(|x|) ...

    Text Solution

    |

  3. Let ABC be a triangle. If P1, P2, P3, P4, P5 are five points on side A...

    Text Solution

    |

  4. Let y(x) be a curve given by differential equation (dy)/(dx) - y = 1 +...

    Text Solution

    |

  5. Let there are 3 bags A, B and C. Bag contain 5 black balls and 7 red b...

    Text Solution

    |

  6. The number of rational terms in the expansion of (2^(1/2) + 3^(1/3))^(...

    Text Solution

    |

  7. 2 and 6 are roots of the equation ax^2 + bx + 1 = 0 then the quaratic ...

    Text Solution

    |

  8. Let f(x)={(frac{1-cos2x}{x^2},x, <,0),(alpha,x,=,0),(beta (frac{sqrt(1...

    Text Solution

    |

  9. One point of intersection of curve y = 1 + 3x - 2x^2 and y = 1/x is (...

    Text Solution

    |

  10. If alpha and beta are sum and product of non zero solution of the equa...

    Text Solution

    |

  11. If domain of the function f(x) = sin^(-1) (frac{3x - 22}{2x - 19}) + l...

    Text Solution

    |

  12. The value of lim(xrarr 4) frac{(5 + x)^(1/3) - (1 + 2x)^(1/3)}{(5 + x)...

    Text Solution

    |

  13. If the function f(x) ={(1/|x|,|x|,ge,2),(zx^2+2b,|x|,<,2):} differenti...

    Text Solution

    |

  14. Let alpha, beta in R. If the mean and the variable of 6 observation, -...

    Text Solution

    |

  15. A square is inclined in the circle x^2 + y^2 - 10 x - 6y + 30 = 0 such...

    Text Solution

    |

  16. Let f(x) = x^5 + 2e^(x/4) AA x in R. Consider a function of (gof) (x) ...

    Text Solution

    |

  17. Let f(x) =frac{2x^2 - 3x + 9} {2x^2 +3x + 4}, x in R, if maximum and m...

    Text Solution

    |

  18. int0^(pi/4) frac{sin^2 x}{1 + sin x. cos x}, dx = 0

    Text Solution

    |

  19. 2, p, q are in G.P. (where p ne q) and in A.P., 2 is third term, p is ...

    Text Solution

    |