Question 1 of 10

The values of λ so that the line 3x-4y=λ touches x²+y²-4x-8y-5=0 are

Question 2 of 10

Auto reduction is employed in the metallurgy of :

Question 3 of 10

The oxidation state of the most electronegative element in the products of the reaction between {tex}BaO_2{/tex} and {tex}H_2SO_4{/tex} are:

Question 4 of 10

The coherent sources whose intensity ratio is 81:1 produce interference fringes. The ratio of minimum to maximum intensity i.e. I_min:I_max is

Question 5 of 10

When 32.25g of ethyl chloride is subjected to dehydrohalogenation reaction the yield of the alkene formed is 50%. The mass of the product formed is: (atomic mass of chlorine is 35.5)

Question 6 of 10

Question 7 of 10

A flask was filled with {tex}CCl_4{/tex} vapours at a particular temperature and pressure. These vapours were then replaced by oxygen gas at the same temperature and pressure, the mass of {tex}CCl_4{/tex} vapours will be

Question 8 of 10

If (2, 3, 5) is one end of a diameter of the sphere x² + y² + z² - 6x - 12y - 2z + 20 = 0, then the coordinates of the other end of the diameter are

Question 9 of 10

If vector a = i + 2j + 3k and b = i × (a×i) + j×(a×j) + k×(a×k) then length of b is equal to

Question 10 of 10

The area (in square unit) enclosed by the curve y = 4 x³ and y = 16x is