The co-ordinates of the point where the line\(\frac{x+3}{3}=\frac{y-1}{-1}=\frac{z-5}{-5}\) cuts the yz--plane are :

A is a square matrix of order 3 such that |A| = 13. The value of | - 3A| is:

Match List-I with List-II

List-I (Matrix Product)	List-II (Order of resultant matrix)
(A) \(\left[a_{i j}\right]_{2 \times 3} \times\left[b_{i j}\right]_{3 \times 4}\)	(I) \(2 \times 4\)
(B) \(\left[a_{i j}\right]_{2 \times 1} \times\left[b_{i j}\right]_{1 \times 3}\)	(II) Not possible
(C) \(\left[a_{i j}\right]_{3 \times 2} \times\left[b_{i j}\right]_{3 \times 2}\)	(III) \(3 \times 3\)
(D) \(\left[a_{i j}\right]_{3 \times 3} \times\left[b_{i j}\right]_{3 \times 3}\)	(IV) \(2 \times 3\)

Choose the correct answer from the options given below :

Let \(P=\left[a_{i j}\right]\) be a \(3 \times 3\) matrix and let \(Q=\left[b_{i j}\right]\) be a \(3 \times 3\) matrix,
where \(b_{i j}=2^{i+j} a_{i j}\) for \(1 \leq i, j \leq 3\).
If the determinant of \(P\) is 2 , then the determinant of the matrix \(Q\) is ___________ .

Consider the following data:

Year(x)	2010	2011	2012	2013	2014
Sale(in crore Rs.)(y)	9	18	21	29	38

A straight line trend by the method of least squares is:

For the given five values 18, 25, 20, 36, 49, the three years moving averages are

If f(a - x) = f(x), then \(\int_0^a x f(x) d x\) is equal to

Primary Endosperm Nucleus is the product of :

A mobile phone costing ₹ 50000 has a useful life of 5 years. If the annual depreciation is ₹ 5000, then by using a linear method, its scrap value is

The solubility of the gas in a liquid :
(A) Increases with increase in pressure
(B) Decreases with increase in pressure
(C) Increases with increase in temperature
(D) Decreases with increase in temperature
Choose the correct answer from the options given below :

45 g of ethylene glycol (C₂H₆O₂) is mixed with 600 g of water. Calculate the depression in freezing point.
(K_f for water = 1.86 K kg mol^-1)

A piece of copper and a piece of germanium are cooled from room temperature 20 C down to 80 K. The resistance of

Read the passage carefully and give the answers to the question :
India was amongst the first countries in the world to initiate action plans and programmes at a national level to attain total reproductive health as a social goal.
These programmes called 'family planning' were initiated in 1951 and were periodically assessed over the past decades. Improved programmes covering wider reproduction-related areas are currently in operation. Creating awareness among the people about various reproduction-related aspects and providing facilities and support for building up a reproductively healthy society are the major tasks under these programmes.
Match Column I with Column II

Column I	Column II
(A) ZIFT	(I) Sperm injected into ovum
(B) ICSI	(II) Embryo in uterus
(C) IUI	(III) Embryo in fallopian tube
(D) IUT	(IV) Semen in uterus

Choose the correct answer from the options given below