Home
Class 12
MATHS
9If the shortest between the lines (x+sq...

9If the shortest between the lines `(x+sqrt(6))/(2)=(y-sqrt(6))/(3)=(z-sqrt(6))/(4)` and `(x-lambda)/(3)=(y-2sqrt(6))/(4)=(z+2sqrt3)/5` is `6`,then the square of sum of all possible values of `lambda` is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

If the shortest distance between the lines (x-4)/(1)=(y+1)/(2)=(z)/(-3) and (x-lambda)/(2)=(y+1)/(4)=(z-2)/(-5) is 6/sqrt5 then the sum of all possible values of lamda is

If the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and (x+3)/(-3)=(y+7)/(2)=(z-6)/(4) is lambdasqrt(30) unit, then the value of lambda is

Find the angle between the lines y-sqrt(3)x-5=0 and sqrt(3)y-x+6=0

If a=(4sqrt(6))/(sqrt(2)+sqrt(3))

The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and (x+3)/(-3)=(y+7)/(2)=(z-6)/(4) is a.sqrt(30)b.2sqrt(30)c.5sqrt(30)d.3sqrt(30)

(3-sqrt(6))/(3+2sqrt(6))=a sqrt(6)-b

If the lines (x-3)/(2)=(y-5)/(2)=(z-4)/(lambda) and (x-2)/(lambda)=(y-6)/(4)=(z-5)/(2) intersect at a point (alpha, beta, gamma) , then the greatest value of lambda is equal to

(3sqrt(2))/(sqrt(6)-sqrt(3))+(2sqrt(3))/(sqrt(6)+2)-(4sqrt(3))/(sqrt(6)-sqrt(2))

If the angle between the line (x)/(1)=(y-1)/(2)=(z-3)/(lambda) and the plane x+2y+3z=4 is cos^(-1) sqrt((5)/(14)) , then the value of 3 lambda is equal to

(276-sqrt(6(3)/(4)))^(2)+(2(sqrt(2)+sqrt(6)))/(3sqrt(2+sqrt(3)))

JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. Let the sum of the coefficients of the first three terms in the expans...

    Text Solution

    |

  2. If the area of the region bounded by the curves y^(2)-2y=-x,x+y=0 is A...

    Text Solution

    |

  3. 9If the shortest between the lines (x+sqrt(6))/(2)=(y-sqrt(6))/(3)=(z-...

    Text Solution

    |

  4. Let S={theta in[0,2 pi):tan(pi cos theta)+tan(pi sin theta)=0}. Then s...

    Text Solution

    |

  5. Let y = y(x) be the solution of the differential equation x^3dy + (xy ...

    Text Solution

    |

  6. The area enclosed by the curves y^2+ 4x = 4 and y – 2x = 2 is:

    Text Solution

    |

  7. Let Ω be the sample space and A ⊆ Ω be an event.Given below are two st...

    Text Solution

    |

  8. The value of sum(r=0)^22 "^(22)Cr "^23Cr is

    Text Solution

    |

  9. Let alpha be a root of the equation (a – c) x^2 + (b – a) x + (c – b) ...

    Text Solution

    |

  10. lim(trarr0)(1^(1/sin^2t)+2^(1/sin^2t)+..n^(1/sin^2t))^(sin^2t)

    Text Solution

    |

  11. The distance of the point (–1, 9,–16) from the plane 2x + 3y – z = 5 m...

    Text Solution

    |

  12. Let N denote the number that turns up then a fair die is rolled. If th...

    Text Solution

    |

  13. Let f (x)={(x^2sin(1/x),x!=0,),(0,x=0,):} then at x = 0

    Text Solution

    |

  14. Let PQR be a triangle. The point A,B and C are on the sides QR, RP and...

    Text Solution

    |

  15. For the positive integers p,q ,r,x^(pq^2)=y^(qr)=z^(p^2r) and r = pq+1...

    Text Solution

    |

  16. tan^(-1)((1+sqrt3)/(3+sqrt3))+sec^-1(sqrt((8+4sqrt3)/(6+3sqrt3))) is e...

    Text Solution

    |

  17. The equation x^2-4x+[x]+3=x[x], where [x] denotes the greatest integer...

    Text Solution

    |

  18. Let p,q in R and (1-sqrt3i)^(200)=2^(199) (p=iq),i=sqrt(-1) then p+q+q...

    Text Solution

    |

  19. If A and B are two non-zero n × n matrices such that A^2 + B = A^2 B, ...

    Text Solution

    |

  20. Let a tangent to the curve y^2 = 24x meet the curve xy =2 at points A ...

    Text Solution

    |