+2 / 12th std / Plus Two www.mpbse.nic.in : Madhya Pradesh Maths Model Question Paper

[mariammal]

Document Described : Maths Question Paper, Madhya Pradesh Question Paper

MODEL QUESTION PAPER
HIGHER - MATHEMATICS
Class - XIIth
Time : 3 hours Class - XIIth M.M. : 100

Instructions :-
1. All questions are compulsory.
2. Read the Instructions of question paper carefully and write their answer.
3. Internal option are given in Question No. 06 to 21.
4. Question No. 06 to 12 carry 4 marks each.
5. Question No. 13 to 19 carry 5 marks each.
6. Question No. 20 to 21 carry 6 marks each.

http://mpbse.nic.in/Model%20Que-Ans%20paper.htm
http://mpbse.nic.in/12th/mathematics/Mathematics-1.pdf

01 Write the correct answer from the given option provided in every objective type questions.
(B) Value of tan-1 + tan-1 is:
(i) (ii) (iii) (iv) p
(i) (1,0,0) (ii) (0,1,0) (iii) (0,0,1) (iv) (1,1,1)
(C) Direction cosines of x - axis are:
(i) (1,0,0) (ii) (0,1,0) (iii) (0,0,1) (iv) (1,1,1)
(i) 3 (ii) 4 (iii) 5 (iv) 6
(D) Distance between point (3,-5,6) and (7,-8,6) is:
(i) 3 (ii) 4 (iii) 5 (iv) 6
(i) v41 (ii) v26 (iii) v14 (iv) 3
(E) If OP = i + 4j - 3k and OQ = 2i - 2j – k then modulus of PQ is:
(i) v41 (ii) v26 (iii) v14 (iv) 3

Write the answer in one sentence :
(i) Write the Simpson’s 1/3rd rule.
(ii) Write the Trapezoidal rule.
(iii) Write the Formula for first iteration by Newton’s Raphson’s
Method.
(iv) Find the sum in normalised Floating point representation.
.23452 E 07 + .31065 E 07
Subtract in normalised Floating point representation.
0.4624 E 12 from 0.4657 E 12

Fill in the blanks :-
(i) Equation of plane in normal form is _________.
(ii) Diameter of sphere 4x2+4y2+4z2 - 8x+12y+16z - 3 = 0 ________.
(iii) If a and b are perpendicular, then a.b = __________.
(iv) The Karl Pearson's Coefficient of correlation between variables x and y is __________.
(v) Correlation coefficient is the __________ mean of the regression coefficient.

Write True/False in the following statements :
(i) The points -2i+4j+7k, 3i-6j-8k and i-2j-2k are collinear.
(ii) The value of (i × j) × k is k
(iii) The velocity of the particle at the maximum height is always zero.
(iv) Second derivative of the function ax3+bx2+cx+d is 6ax+2b.
(v) d 1

Match the column :
A B
(i) (a) Sin-1
(ii) (b) Sin x
(iii) (c) tan x - sec x + c
(iv) logxdx (d) log [x + vx2-a2]
(v) cosxdx (e) 2 log 2-1

Very short answer type question :
Resolve into partial fractions.
Resolve into partial fraction.
Prove that tan-1vx = cos-1
Prove that tan-12+tan-13 = 3p /4
Find the differential coefficient of va + vx with respect to x
1-co sx dk x ds lkis{k vodyu xq. kkad Kkr dhft, A
1+cosx
Find the differential coefficient of 1-cosx w.r.t. x
1+cosx
If y = vx + vx + vx + ............. then prove that dy 1
dx 2y-1;fn sin y = x sin (a+y) rks fl) dhft, fd dy sin2(a+y)
dx sin a
If sin y = x sin (a+y) then prove that dy sin2(a+y)
dx sin a iz iz-10 fl) dhf dhft, fd Qyu t, f(x) = ax+b tcfd a o b vpj gSa rFkk a > o, x ds
Prove that f(x) = ax+b, where a and b are constants and a > o, is an
increasing function.
Find the Karl Pearson's Coefficient of correlation between x and y for the following data.
The tangent between regressions lines of two variable x and y is 0.6 and x = 1y. calculate the coefficient of correlation between x and y.
If the regression line of y on x is ax + by + c = o and that of x on y is
Find the Equation to the plane passing through the point (0,-1,0),
(2,1,-1) and (1,1,1)
A plane meets the co-ordinate axes at A,B,C such that the control
of ?ABC is the point (a,b,c). Show that the equation to the plane is
+ + = 3
If the sum of two unit vectors is a unit vector, prove that the
magnitude of their difference is v3
For any ?ABC, show that the perpendicular bisectors of the sides are concurrent.