gbshse.gov.in : HSSC Mathematics & Statistics Question Paper Model Goa Board Of Secondary & Higher Secondary Education

Board : Goa Board Of Secondary & Higher Secondary Education
Subject : HSSC Mathematics & Statistics
Document type : Question Paper Model
Website : gbshse.gov.in

Download Sample/Model Question Papers : https://www.pdfquestion.in/uploads/5869-design_mns.pdf

GBSHSE HSSC Mathematics & Statistics Question Paper

GOA BOARD OF SECONDARY AND HIGHER SECONDARY EDUCATION
ALTO BETIM – GOA 403521 HSSCE
Mathematics And Statistics ( 606 )[ effective from March 2015]
MODEL QUESTION PAPER

Related : Goa Board Of Secondary & Higher Secondary Education HSSC Mathematics Question Paper Model : www.pdfquestion.in/5870.html

Time : 2½ hrs. Max Marks : 80
GENERAL INSTRUCTIONS :
** This question paper contains seven main questions.
** All seven questions are compulsory.
** Answer each main question on a fresh page.
** Use of calculator is not allowed.
** Log tables will be supplied on request.
** Graphs should be drawn on the answer paper only.
** For each main questions the subquestions carry the following marks

Q No 1 (A) Define “ Symmetric matrix”
(B) Find area of the triangle whose vertices are (3,8), (-4,2) and (5,1) by using
(D) By using properties of Determinants as far as possible , show that

Q No 2 (A) Select and write the correct alternative from those given below.
A matrix in which all the non-diagonal elements are zero is called ——- matrix
– Scalar – Diagonal – Square – Zero
(D) Solve 2x – y + z = 3 , -x + 2y -z =- 4 , x – y + 2z = 1 by using matrix method.

Q No 3 (A) ) Select and write the correct alternative from those given below.
If R be the relation in the set N given by
– (2,6) – R – (3,8 ) – R – (6,8) – R – (8,7) – R
(B) Write the constraints for the following shaded region
(C) Show that the function f : R – R given by fx
(D) Find the values of a and b such that the function defined by
f(x) = 5 , if x = 2 = ax + b , if 2 < x < 10 = 21 , if x=10 Is continuous in its domain.

Q No 4 (A) Select and write the correct alternative from those given below.
(B) Evaluate 0 9v; v dx (C) Find 02 x<2x
(D) Attempt any one of the following : (i) Evaluate 0 Log9 x dx (ii) Evaluate 0 >- AT 1AQ No 5 (A) Select and write the correct alternative from those given below.
The difference between the resources and Liabilities of a firm is called its —–
(C) Solve the differential equation x (1 + y ) dx – y0 given that y = 0 when x = 1

(E) Attempt any one of the following:
(i) A house is sold for Rs.50,000 down and 10 semi annual payments of Rs. 5000 each, the first due 3 years hence. Find the cash price of the house if the money is worth 6% p.a. compounded semi annually .

Q No 5 (A) Select and write the correct alternative from those given below.
The difference between the resources and Liabilities of a firm is called its —–
• Present worth
• Future value
• Profit
• Loss

(B) Write the constraints for the following shaded region
(C) Solve the differential equation x (1 + y ) dx – y (1+ x dy 0 given that y = 0 when x = 1
(D) Maximise z = 5x +3y , subject to the constraints 3x+5y =15 , 5x +2y = 10 , x = 0 y = 0

Q No 6 (A) Define “ Ordinary Annuity”
(C) Form differential equation representing the given family of curves by eliminating
(D) A man is known to speak truth 3 out of 4 times . He throws a die and then reports that itis a six . Find the probability that it is actually six.

(E) Attempt any one of the following :
postoffice that pays 12% p.a. compounded monthly. What is the future value of amount in the account of post office at the end of 6 years- (Use log tables)
Q No 7 (A) Define “ Bill of exchange”in the ratio 3 : 2 . Calculate the gaining ratio.
(C) A , B , and C started a partnership and invested Rs.100000 , Rs. 80,000 and Rs.