let \(\lambda\neq 0\) be in r.If \(\alpha\) and \(\beta\) are the roots of the equation, then x2-x+2\(\lambda\)=0 and \(\alpha\) and \(\gamma\) are the roots of the equation, 3x2-10x+27\(\lambda\)=0,then \(\frac{\beta\gamma}{\lambda}=?\)
36
27
9
18
The correct answer is option (D) : 18
Which of the following statement is true with respect to H\(_2\)O, NH\(_3\) and CH\(_4\)?
(A) The central atoms of all the molecules are sp\(^3\) hybridized.
(B) The H–O–H, H–N–H and H–C–H angles in the above molecules are 104.5°, 107.5° and 109.5° respectively.
(C) The increasing order of dipole moment is CH\(_4\)<NH\(_3\)<H\(_2\)O.
(D) Both H\(_2\)O and NH\(_3\) are Lewis acids and CH\(_4\) is a Lewis base.
(E) A solution of NH\(_3\) in H\(_2\)O is basic. In this solution NH\(_3\) and H\(_2\)O act as Lowry-Bronsted acid and base respectively.
The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between \( t = 0 \) to \( t = 4s \)?