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M P Keshari

Archive for the ‘CBSE XII’ Category

Time Table ISC – 2015

This item was filled under [ CBSE XII, ISC ]

INDIAN SCHOOL CERTIFICATE EXAMINATION, YEAR 2015Day & Date Time Subject/Paper DurationMonday, February 9 9.00 A.M. Physics Paper 2 (Practical) 3 hrs.Tuesday, February 10 9.00 A.M. Indian Music Hindustani Paper 2 (Practical)Indian Music – Carnatic Paper 2 (Practical)Home Science Paper 2 (Practical) – Planning Session20 minutes for each candidate20 minutes for each candidate1 hr.Wednesday, February 11 [...]

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Binomial Distribution

This item was filled under [ CBSE XII, ISC ]

ISC – Maths – XII – Important Q.A. Binomial Distribution. Q.1. The probability that a teacher will give an unannounced test during any class meeting is 1/5. If a student is absent twice , find the probability that the student will miss at least one test. Solution : – Here, p = 1/5 , q [...]

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Baye’s Theorem

This item was filled under [ CBSE XII, ISC ]

ISC – Maths – XII – Important Q.A. Baye’s Theorem. Q.1. A class consists of 50 students out of which there are 10 girls. In the class 2 girls and 5 boys are rank holders in an examination. If a student is selected at random from the class and is found to be a rank [...]

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Equation of Planes

This item was filled under [ CBSE XII, ISC ]

ISC – Maths – XII – Important Q.A. Equation of Planes. Q.1. Find the coordinates of the point where the line joining the points (1 ,– 2 , 3) and (2 , – 1 , 5) cuts the plane x – 2y + 3z = 19. Hence, find the distance of this point from the [...]

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Scalar Triple Product

This item was filled under [ CBSE XII, ISC ]

ISC – Maths – XII – Important Q.A. Scalar Triple Product. Q.1. If a→,b→,c→ are three vectors, show that : (a→ + b→).(b→ + c→)×(c→ + a→) = 2[a→b→c→] Solution : – L.H.S. = (a→ + b→).(b→ + c→)×(c→ + a→) = (a→ + b→).(b→×c→ + b→×a→ + c→×c→ + c→×a→) = (a→ + b→).(b→×c→ [...]

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Linear Differential Equation

This item was filled under [ CBSE XII, ISC ]

ISC – Maths – XII – Important Q.A. Linear Differential Equation. Q.1. Solve the differential equation : (x + 1) dy/dx – y = e3x (x + 1)2. Solution : – We have  (x + 1) dy/dx – y = e3x (x + 1)2. Dividing both sides by (x + 1) , we get dy/dx [...]

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Homogeneous Differential Equation

This item was filled under [ CBSE XII, ISC ]

ISC – Maths – XII – Important Q.A. Homogeneous Differential Equation. Q.1. Solve the differential equation : (x2 + y2) dx – 2xydy = 0 , given that y = 0, when x = 1. Solution : – We have  (x2 + y2) dx – 2xy dy = 0 & y = 0 when x [...]

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Differential Equation – Variable Seperable

This item was filled under [ CBSE XII, ISC ]

ISC – Maths – XII – Important Q.A. Differential Equation. Q.1. Solve the differential equation : tan y dx + sec2 y tan x dy = 0 . Solution : – We have ,  tan y dx + sec2 y tan x dy = 0 Or,           tan y dx  = – sec2 y tan x [...]

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Square Root of Complex Numbers

This item was filled under [ CBSE XII, ISC ]

ISC – Maths – XII – Important Q.A. Square Root of Complex Numbers. Q.1. Find the square root of 5 – 12i. Solution : – Let √(5 – 12i) = x + iy Squaring both sides, we get 5 – 12i = x2 + 2ixy +(iy)2 = x2 – y2 + 2xyi. Equating real and [...]

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Probability

This item was filled under [ CBSE X, CBSE XII, ICSE, ISC ]

ISC – Maths – XII – Important Q.A. Probability. Q.1. In a single throw of two dice, find the probability of getting a total of at most 9. Solution : – Favourable ways are : (1,1), (1,2), (1,3), (1,4), (1,5), (1,6) (2,1), (2,2), (2,3), (2,4), (2,5), (2,6) (3,1), (3,2), (3,3), (3,4), (3,5) ,(3,6) (4,1), (4,2), [...]

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