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| Roll No. | Total No. of Questions : 09 |
B.Sc. Agriculture (2014 & Onwards) (Sem.-1)
MATHEMATICS – I
Subject Code : BSAG-106a
M.Code: 72213
Time : 3 Hrs. Max. Marks : 60
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INSTRUCTIONS TO CANDIDATES :
- SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
- SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
- SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions.
SECTION-A
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Q1. Answer briefly :
- Find the centre and radius of
x² + y² + 6x – 4y +4 = 0 - Find equation of circle whose radius is 5 and centre lies on x-axis and passes through point (2,3).
- Determine x such that m=2 and line passes (2,5) and (x,3)
- How many numbers of two digits are divisible by 9?
- The sum of three numbers in G.P. is 38 and product is 1728, find them.
- Find the positive value of m for which coefficient of x6 in the expansion of (1+x)m is 6.
- Write the number of ways 7 men and 7 women can sit on a round table such that no two women sit together.
- If there are 12 persons in a party, and if each two of them, shake hands with each other, how many handshakes happen in the party?
- How many numbers of two digits are divisible by 7?
- The sum of four numbers in G.P. is 85 and product is 4096, find them.
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SECTION-B
Q2. a) The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm. find the area of the triangle.
b) The length of a rectangle is twice its breadth. If its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq. cm. find the length of the rectangle.
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Q3. a) Find the length of the longest pole that can be placed in a room 12m long, 3m broad and 9m high.
b) Two concentric circles form a ring. The inner and outer circumferences of the ring are 50m and 75m respectively. Find the width of the ring.
Q4. a) A cube of edge 15cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm × 15cm, find the rise in water level.
b) A rectangular water tank is 80m × 40m. Water flows into it through a pipe 40 sq. cm at the opening at the speed of 10km/hr. By how much height, the water level will rise in the tank in half an hour?
Q5. a) Solve the following quadratic equation by factorisation method 4x + 9 = 0.
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b) Solve the quadratic equation 17x² – 8x + 1 = 0 by using the general expressions for the roots of a quadratic equation.
Q6. a) How many words can be framed from the letters of word 'DIRECTOR' so that the vowels are always together?
b) In how many ways can a cricket eleven be chosen out of a batch of 15 players?
SECTION-C
Q7. a) Expand (1+x+x²)³ using binomial theorem.
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b) Find the sum of following series : 1+11+111 + ... to n terms.
Q8. a) Find the equation of a line that has y intercept 4 and is perpendicular to the line joining (2, -3) and (4, 2).
b) Find the equation of the line which makes an angle of 15° with the positive direction of x- axis and which cuts an intercept of length 4 on the negative direction of y-axis.
Q9. a) Find the equation of circle which passes through 2 points on the x - axis which is at distances 4 from the origin and whose radius is 5.
b) Find equation of the circle which passes through the origin and cuts off intercepts 3 and 4 from the positive parts of the axes respectively.
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NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.
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This download link is referred from the post: PTU B.Sc Agriculture Last 10 Years 2010-2020 Previous Question Papers || Punjab Technical University