Mathematics Solved Past Paper 2nd year 2011 Karachi Board

SECTION ‘A’ (MULTIPLE QUESTIONS ANSWER)

solved MCQs mathematics 2011 2nd year.

solved MCQs mathematics 2011 2nd year.

solved MCQs mathematics 2011 2nd year.

solved MCQs mathematics 2011 2nd year.

solved MCQs mathematics 2011 2nd year.

solved MCQs mathematics 2011 2nd year.

SECTION ‘B’ (SHORT QUESTIONS ANSWER)

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(iv) Find the distance between the parallel lines 3x + 4y + 10 = 0, 6x +8y-9=0.

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(v) Find the equation of circle which passes through the origin and cuts off intercepts equal to 3 and 4 from the axes.

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CALCULAS

Find the derivative by first principles at any point x in the domain D (f) of the functions f (x) = cotx.

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SECTION ‘C’ (DETAILED QUESTIONS ANSWER)

4.a) Show that the lines  4xy + y2 = 0 and x + y = 3 form an equilateral triangle. Also find the area of the tr;angle.
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6.a) (ii) Find the area above x-axis under the curve y = 3x4_2x2 and between the ordinates x = 1 and x = 2.

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6.b) Find the relative maximum and minimum values of the function f (x) = ex sinx

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Posted on January 1, 2016 in 2nd Year 2011 Karachi Board Past Papers

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