Download cbse 2019 all maths question papers pdf .Central board of secondry education held the mathematic paper in 2019 in various centres across the country and all sets of those maths paper is given in below list and all this papers will very helpfull for upcomming 12th students of science stream.. .
you can download all paper without any problems.
direct download link is given below of all sets.
SOME IMPORATNT QUESTION OF MATHS
Q.If A is a square matrix satisfying A'A = I, write the value of |A|
Q.If y = x|x|, find
dx/dy
for x < 0.
Q.Find the direction cosines of a line which makes equal angles with the
coordinate axes.
Q.A line passes through the point with position vector 2i,cap – 1j,cap + 4k,cap and is
in the direction of the vector 1i,cap+ 1j,cap – 2k,cap . Find the equation of the line in
cartesian form.
Q.Examine whether the operation *
defined on R , the set of all real
numbers, by a*b = ✓a2+b2is a binary operation or not, and if it is a binary operation, find whether it is associative or not.
Q.Find the differential equation of the family of curves y = Ae2x + Be–2x,
where A and B are arbitrary constants.
Q.If P(not A) = 0·7, P(B) = 0·7 and P(B/A) = 0·5, then find P(A/B)
Q.A coin is tossed 5 times. What is the probability of getting (i) 3 heads,
(ii) at most 3 heads ?
Q. Find the probability distribution of X, the number of heads in a
simultaneous toss of two coins.
Q.Check whether the relation R defined on the set A = {1, 2, 3, 4, 5, 6} as
R = {(a, b) : b = a + 1} is reflexive, symmetric or transitive.
Q. Let f : N ➝Y be a function defined as f(x) = 4x + 3,where Y = {y=N : y = 4x + 3, for some x∊N}. Show that f is invertible.
Find its inverse.
Q.Find the equation of the normal to the curve x2 = 4y which passes
through the point (– 1, 4).
Q.Show that the height of the cylinder of maximum volume that can be
inscribed in a sphere of radius R is 2R/√3 . Also find the maximum volume
Q.Using method of integration, find the area of the triangle whose vertices
are (1, 0), (2, 2) and (3, 1).
Q.Using method of integration, find the area of the region enclosed between
two circles x2 + y2 = 4 and (x – 2)2 + y2 = 4.
Q.Find the equation of the line passing through (2, – 1, 2) and (5, 3, 4) and
of the plane passing through (2, 0, 3), (1, 1, 5) and (3, 2, 4). Also, find
their point of intersection.
Q.There are three coins. One is a two-headed coin, another is a biased coin
that comes up heads 75% of the time and the third is an unbiased coin.
One of the three coins is chosen at random and tossed. If it shows heads,
what is the probability that it is the two-headed coin ?
Q.Each unit of type A requires 3 g of silver and 1 g of gold while that
of type B requires 1 g of silver and 2 g of gold. The company can use at
the most 9 g of silver and 8 g of gold. If each unit of type A brings a profit
of 40rs and that of type B 50rs, find the number of units of each type
that the company should produce to maximize profit. Formulate the
above LPP and solve it graphically and also find the maximum profit.
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