Home
Class 12
MATHS
Let lambda(1),lambda (2) be the values o...

Let `lambda_(1)`,`lambda_ (2)` be the values of lambda for which the points `(5/2,1,lambda)` and `(-2,0,1)` are at equal distance from the plane ` 2x+3y-6z7=0. If lambda_(1)>lambda_(2),` then the distance of the point` (lambda_(1)-lambda_(2),lambda_(2),lambda_(1))` from the line `(x-5)/1=9y-1)/2=(z+7)/2` is _____.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

Let lambda_(1),lambda_(2) be two values of lambda for which the expression x^(2)+(2-lambda)x+lambda-(3)/(4) becomes a perfect square.The value of (lambda_(1)^(2)+lambda_(2)^(2)) equals (i) 8 (ii) 25 (ii) 50 (iv) 100

If the points A(lambda, 2lambda), B(3lambda,3lambda) and C(3,1) are collinear, then lambda=

The plane 2x-(1+lambda)y+3 lambda z=0 passes through the intersection of the plane

If lambda_(1),lambda_(2)(lambda_(1)>lambda_(2)) are two values of lambda for which the expression f(x,y)=x^(2)+lambda xy+y^(2)-5x-7y+6 can be resolved as a product of two linear factors, then the value of 3 lambda_(1)+2 lambda_(2) is

Find the values of lambda for which 3-lambda,-1,1-1,5-lambda,-11,-1,3-lambda]|=0

If tan 82(1)/(2^(@))=sqrt(lambda_(1))+sqrt(lambda_(2))+sqrt(lambda_(3))+2 then lambda_(1)+lambda_(2)+lambda_(3) is equal to

Find values of lambda for which line y=x+1,y=lambda x+2 and y=(lambda^(2)+lambda-1)x+3 are con-current.

Is there a real value of lambda for which the image of the point (lambda,lambda-1) by the line mirror 3x+y=6 lambda is the point (lambda^(2)+1,lambda) If so find lambda_(.)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. let the mean and variance of 8 numbersx,y,10,12,6,12,4,8, be 9 and 9.2...

    Text Solution

    |

  2. If alpha (a) is the greatest term in the sequence alpha (n)=(n^(3))/(n...

    Text Solution

    |

  3. Let lambda(1),lambda (2) be the values of lambda for which the points ...

    Text Solution

    |

  4. The integeral int((x/2)^x+(2/x)^x)log2x dx is equal to

    Text Solution

    |

  5. Let A={1,2,3,4,5,6,7}. Then the relation R={(x,y) in A xx A : x+y=7} i...

    Text Solution

    |

  6. Let A={theta in (0,2pi):(1+2i sin theta)/(1-i sintheta) "is purely ima...

    Text Solution

    |

  7. Let the vectors vec u1 =hati+hatj+a hatk , vec u2=hati+b hatj+hatk and...

    Text Solution

    |

  8. Let P be the plane passing through the line (x-1)/1=(y-2)/-3=(z+5)/7 a...

    Text Solution

    |

  9. Let S be the set of all value of theta in [-pi,pi] for which the syste...

    Text Solution

    |

  10. The negation of (p wedge (~q)) vv (~p) is equivalent to

    Text Solution

    |

  11. For a,b in ZZ and abs(a-b) le 10, let the angle between the plane P:ax...

    Text Solution

    |

  12. If A=[(1,5),(lamda,10)] , A^(-1)=alpha A+beta I and alpha+beta=-2, the...

    Text Solution

    |

  13. Let the mean and variance of 12 observations be 9/2 and 4 respectively...

    Text Solution

    |

  14. If the [robability that the random variable X takes x is given by P(X=...

    Text Solution

    |

  15. The value of 36 (4 cos^2 9^@-1)(4 cos^2 27^@-1)(4 cos^2 81^@-1)(4 cos^...

    Text Solution

    |

  16. The area of quadrilateral ABCD wiith vertices A(2,1,1),B(1,2,5),C(-2,-...

    Text Solution

    |

  17. The an be the n^(th) term of the series 5+8+14+23+35+50+. . . and Sn=s...

    Text Solution

    |

  18. If alpha gt beta gt 0 are the roots of the equation ax^2+bx+1=0, and l...

    Text Solution

    |

  19. If the number of words, with or without meaning, which can be made usi...

    Text Solution

    |

  20. Let A(0,1), B(1,1) and C(1,0) be the mid-points of the sides of a tria...

    Text Solution

    |