`P(1,1,1) and Q(lamda,lamda,lamda)` are two points in space such that `PQ=sqrt(27)` the value of `lamda` can be (A) -2 (B) -4 (C) 4 (D) 2

If (1,2,4) and (2,-lamda,-3) are the initial and terminal points of the vector hati+5hatj-7hatk then the value lamda is equal to (A) 7 (B) -7 (C) -5 (D) 5

If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2x-y+sqrt(lamda)z+4=0 is such that sintheta=1/3 then the value of lamda is (A) -4/3 (B) 4/3 (C) -3/5 (D) 5/3

If f (x)= tan ^(-1) (sgn (n ^(2) -lamda x+1)) has exactly one point of discontinuity, then the value of lamda can be:

If [{:(1,-3,2),(2,-8,5),(4,2, lamda):}] is not an invertible matrix, then what is the value of lamda

If (1,5,35 ),( 7,5,5),( 1, lamda ,7) and ( 2 lamda ,1,2) are coplanar then the sum of all possible values of lamda is

lamda_1, lamda_2, lamda_3 are the first 3 lines of balmer series. Find lamda_1//lamda_3

If the direction ratios of a line are 1+lamda, 1-lamda, 2 and the line the makes an angle 60^0 with the y-axis, then lamda is (A) 1+sqrt(3) (B) 2+sqrt(5) (C) 1-sqrt(3) (D) 2-sqrt(5)

The plane XOZ divides the join of (1,-1,5) and (2,3,4) in the ratio lamda:1 Then lamda is (A) -3 (B) -1/3 (C) 3 (D) 1/3

If lamda_(1) and lamda_(2) are the two valyes of lamda such that the alpha and beta of quadratic equation lamda(x^(2)-x)+x-5=0 satisfy (alpha)/(beta)+(beta)/(alpha)+(4)/(5)=0 then (lamda_(1))/(lamda_(2)^(2))+(lamda_(2))/(lamda_(1)^(2)) is equal to