Plus Two Maths Model Question Papers Paper 1 is part of Plus Two Maths Previous Year Question Papers and Answers. Here we have given Plus Two Maths Model Question Papers Paper 1.
Plus Two Maths Model Question Papers Paper 1
|Category||Plus Two Previous Year Question Papers|
Time : 2 1/2 Hours
Cool off time : 15 Minutes
Maximum : 80 Score
General Instructions to Candidates :
- There is a ‘Cool off time’ of 15 minutes in addition to the writing time.
- Use the ‘Cool off time’ to get familiar with questions and to plan your answers.
- Read questions carefully before you answering.
- Read the instructions careully.
- When you select a question, all the sub-questions must be answered from the same question itself.
- Calculations, figures and graphs should be shown in the answer sheet itself.
- Malayalam version of the questions is also provided.
- Give equations wherever necessary.
- Electronic devices except non programmable calculators are not allowed in the Examination Hall.
Question 1 to 7 carry 3 scores each. Answer any six questions only
a. Let * be a binary operation, defined by a * b = 3a + 4b – 2, find 4*5
b. Let A = N x N and * be a binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Show that * is commutative and associative. Also, find the identity element for * on A, if any.
a. If thematrixAis both symmetric and skew- symmetric, then A is a ……….. matrix
b. Find the inverse of A = [ ] by elemenatry row operation
Using properties of determinants, prove that
At what points will the tangent to the curve y = 2x3 – 15x2 + 36 x – 21 be parallel to the x- axis? Also find the equations of the tangents to the curve these points.
Question 8 to 17 carry 4 scores each. Answer any eight questions only
Consider the following system of equations :
a. At the point x = 0, the function f(x) = |x| is
(a) continuous, but not differentiable
(b) differentiable, but not continuous
(c) continuous and differentiable
(d) neither continuous not differentiable
a. A spherical bubble is decreasing in volume at the of 2c.c/s. Find the rate at which the surface area is diminishing when he radius i s 3cm.
b. Find the equations of the tangent to the curve y = x2 – 4x + 1 at (2,3)
a. Find the equation of the plane passing through (2, -3, 1) and is prependicular to the line through the points (3,4,-1) and (2,-1,5).
b. Find the distance from origin to the plane 3x-2y+6z+14 = 0.
Question 18 to 24 carry 6 scores each. Answer any 5 questions only
Show that the semi-vertical angle of a right circular cone of given surface area and maximum volume is sin-1 ( )
Consider an L.P.P. to minimize z = 3x+5y subject to the constraints :
x + 3y > 3, x + y > 2,x,y > 0
a. Draw the feasible region.
b. Write the comer points of the feasible region.
c. Find the minimum profit.
Find the following integrats:
a. Consider the differential equation
i. Show that it is a homogeneous differential equation.
ii. Solve the above differential equation.
Using integration find the area of the region bounded by the triangle whose vertices are (-1,0), (1,3) and (3,2).
It can be seen that the feasible region is unbounded.
The comer points of the feasible region are
A(0),B (,) and C (0,2)
The values of Z at these comer are as follows.
As the feasible region is unbounded, therefore, 7 may or may not be the minimum value of Z.
For this, we draw the graph of the inequality, 3x + 5y < 7, and check whether the resulting half plane has points in common with the fea¬sible region or not.
It can be seen that the feasible region has np common point with 3x + 5y < 7 Therefore, the minimum value of Z is 7 at B (,)
Find the Following integrals :
We hope the Plus Two Maths Model Question Papers Paper 1 help you. If you have any query regarding Plus Two Maths Model Question Papers Paper 1, drop a comment below and we will get back to you at the earliest.