CBSE Board Class 12 Math Previous Year Question Papers 2008

Board Sample Paper CBSE Board Class 12 Math Previous Year Question Papers 2008

ICSE Board Class 10 Biology 2010 Andhra Previous Paper Pradesh Board Class Class – XII Subject – MATHEMATICS 12 Math 2008 CBSE Board Class 12 Time : 3 hrs Max. Marks : 100 General Instructions: Sample Paper of SECTION – A Biology For 2008 1. Show that the binary operation defined by a*b = ab + 1 on Q is commutative. Gujarat Board Class 12 Geography 2011 2. Solve : tan-12x + tan-13x = ?/4. Gujarat Board Class 10 3. Find a matrix X such that B – 2A + X = O, where A =. English Core 2005 4. If A is a square matrix of order 3 such that = 64, find. Tamilnadu Board Class 5. Construct a 2 2 matrix whose elements are given by: =. 10 English Core 6. The Cartesian equation of a line AB is. Find the direction cosines of a line parallel to AB. Sample Paper Of 2005 7. If, find a unit vector parallel to the vector Gujarat Board Class 12 8. Given that A = and B = find AB. Hence using this product solve the system of equations : x – y + z = 4, x – 2y – 2z = 9,Sociology 2011 CBSE 2x + y + 3z = 1 Board Class 11 OR Using elementary row transformation, find the inverse of the matrix. Computer Science 9. Show that a right circular cylinder, which is open at the top and has a given surface area, will have the greatest volume 2011 CBSE Board if its height is equal to the radius of its base. Class 12 Economics OR Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is 8/27 of the volume of the 2005 Andhra Pradesh sphere. Board Class 11 10. Evaluate: dx. Physics 2011 11. Using the method of integration, find the area of the region bounded by the lines 2x + y = 4, 3x – 2y = 6 and x – 3y + 5 = 0. OR Make a rough sketch of the region given below and find the area using the method of integration :

Previous Year Paper

CBSE Board Class 12 Functional English 12. Find the image of the point (1, 2, 3) in the plane x + 2y + 4z = 38. Also find the perpendicular distance from the point to the plane. 2011 OR CBSE Board Class 11 A line makes angles ?, ?, ? and ? with the diagonals of a cube, prove that cos2? + cos2? + cos2? + cos2? = 4/3 Math 2009 13. An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 400 is made on each first class ticket and a profit of Rs. 300 is made on each economy class ticket. The airline reserves at least 20 seats for first class. However, at CBSE Board Class least 4 times as many passengers prefer to travel by economy class to by the first class. Determine how many of each type ticket must be sold in order to maximize the profit for the airline. What is the maximum profit? Frame an L.P.P and 12th Accountancy solve it graphically. Previous Year 14. In a bolt factory, machines A, B and C, manufacture respectively 25%, 35%, 40% of the total bolts. Of their output 5%, Question Paper 2007 4% & 2% respectively are defective bolts. A bolt is drawn at random and is found to be defective. Find the probability that it is manufactured by machine B. CBSE Board Class 11 English Elective 2010 Q.15Find the slope of the tangent to the curve 3 ,8 2 2 5 2 2 x = t + t ? y = t ? t ? at the point.(2, -1) CBSE Board Class 12 Q.16 .If a i j k b i j k ˆ ˆ , ˆ 2 ˆ = 2ˆ + 2 ˆ + 3 = ? + + r r and c i j = 3ˆ + ˆ r are such that a br r + ? is perpendicular to English Elective 2007 c r , then find the value of ? . CBSE Board Class 12 Q.17If f : R? R be defined as f(x) =,93 x + 7then find ( ). Psychology 2011 Q.18 Find values of k if area of triangle is 4 square units and vertices are CBSE Board 12 (k,0),(4,0),(0,2). Ans k=0,8 Political Science Q.19 The number of all possible matrices of order 3× 3 with each entry 0 or 1 . Previous Year Q.20 Write the total number of binary operation on a set consisting of n Question Paper 2008 element . CBSE Board Class 10 Q.21 If the points (1, 1, p) and (-3, 0, 1) be equidistant from the plane

( ) 13 ,0ˆ r 3. i ˆ + 4 ˆ j ?12k + = r then find the value of p. Q.22 A toy manufacturers produce two types of dolls ; a basic version doll A and deluxe version doll B. Each doll of type B takes twice as long to produce as one doll of type A . The company have time to make a maximum of 2000 , dolls of type A per day , the supply of plastic is sufficient to produce 1500 dolls per day and each type requires equal amount of it .The deluxe version i.e. type B requires a fancy dress of which there are only 600 per day available . If the company makes profitof 3 and 5 per doll respectively on doll A and B , how many of each should be produced weekly in order to maximize the profit ? Solve it by graphical method

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