CBSE[Delhi]_XII_Mathematics_2017_Set1
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Q1
If a line makes angles 90˚and 60˚respectively with the positive direction of x and y axes, find the angle which it makes with the positive directions of zaxis.
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Q2Marks:1
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Q3
If A is a 3 x 3 invertible matrix, then what will be the value of k if det(A^{1}) = (det A)^{k}.
Marks:1Answer:
We know that

Q4
Determine the value of the constant ‘k’ so that the function:
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Q5
Show that all the diagonal elements of a skew symmetric matrix are zero.
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Q6Marks:2
Answer:

Q7
The volume of a sphere is increasing at the rate of 3 cubic centimeters per second. Find the rate of increase of its surface area, when the radius is 2 cm.
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Q8
Show that the function f(x)=4x^{3}–18x^{2}+27x–7 is always increasing on R.
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Q9
Find the vector equation of the line passing through the point A (1, 2, 1) and parallel to the line 5x25=147y=35z.
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Q10
Prove that if E and F are independent events, then the events E and F’ are also independent.
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