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2017 11 sample paper mathematics 05 qp

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Sheetal Rai
Greenfields Public School (GPS), Dilshad Garden, Delhi
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Sample Paper-05 Mathematics Class XI Time allowed: 3 hours General Instructions: Maximum Marks: 100 a) All questions are compulsory. b) The question paper consists of 26 questions divided into three sections A, B and C. Section A comprises of 6 questions of one mark each, Section B comprises of 13 questions of four marks each and Section C comprises of 7 questions of six marks each. c) All questions in Section A are to be answered in one word, one sentence or as per the exact requirement of the question. d) Use of calculators is not permitted. Section A 1. Identify a function f ( x) so that f ( x). f ( y ) = f ( x + y ) 2. If A = {( x, y ) : y = a x , x R} andB = {( x, y ) : y = a x , x R} then what is ( A B ) 3. If R is a relation from a set A containing p elements to a set B containing q elements the find the number of subsets of A B 4. Check whether the given lines are parallel or perpendicular. ax by + c = 0 and ax by +d =0 2 2 5. Find the area of the triangle whose vertices are (2,0),(5,3),(2,6) 6. Write the equation of a circle with center (0,0) and radius 5 Section B 7. Prove that f (a + b) = f (a ) + f (b) when f ( x) = x 2 and when f ( x) = x3 8. If , are the roots of the equation x 2 + px + q = 0 Find 3 + 3 . 9. A positive 3 digit number has its units digit zero. Find the probability that the number is divisible by 4. 10. Prove that tan(45 + x) = sec 2 x + tan 2 x 11. Prove by mathematical induction that n(n + 1) is even 12. Find n[( A B C )] if n( A) = 4000 n( B) = 2000 n(C ) = 1000 and n( A B ) = n( B C ) = n( A C ) = 400 , n( A B C ) = 200 13. Find the latus rectum, eccentricity and coordinates of the foci of the ellipse x 2 + 3 y 2 = k 2 Material downloaded from http://myCBSEguide.com and http://onlineteachers.co.in Portal for CBSE Notes, Test Papers, Sample Papers, Tips and Tricks

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