PRACTICE PAPERclass XI- MathsTime- 3 hours M.M.-100 All questions are compulsorySection A:Question numbers 1 to 10 carry 1 mark each.1. Expand (1-2x)42. Find the sum of first five terms of the series 1+3. For what values of x, the number are in G.P.4. If the kth term of A.P. is 5k+1, find the common difference.5. Find the sum of 1,a, a2, a3 n terms (a-1)6. Find the equation of line through (-2,3) with slope -4.7. Find the equation of the line which makes intercepts -3 and 2 on the x and y axes respectively.8. Find the distance between the parallel lines 3x-4y+7=0 and 3x-4y+5=0.9. Reduce the equation 3x-4y+10=0 into y-intercept form.10. For what values of x, the points (x,-1),(2,1) and (4,5) are collinear. Section B:Question numbers 11 to 22 carry 4 marks each.11. The vertices of triangle PQR are P(2,1) , Q(-2,3) and R(4,5). Find the equation of median through the vertices R.12. Find the angles between the lines 3x+y =1 and x+3 y=1.13. In a triangle ABC with vertices A(2,3), B(4,-1) and C(1,2). Find the equation of the altitude form the vertex A.14. Find the sum of the sequence 7,77,777, to n terms.15. Which term of the following sequence 3,3, 33, is 729?16. If the sum of first p terms of an A.P. is equal to the sum of first q terms. Find the sum of first p+q terms.17. In an A.P. the first term is 2 and the sum of first five terms is one fourth of the sum of next five terms. Show that 20th term is -112.18. Using binomial theorem, indicate which number is larger (1.1)1000 or 1000?19. Find the 13 term in the expansion of (9x-3x )18, x0.20. Find a if 17th and 18th terms of expansion of (2+a)50 are equal. 21. Using binomial theorem evaluate (101)4.22. Find the middle term in the expansion of + 9y)10Section C:Question numbers 23 to 29 carry 6 marks each.23. The second, third and fourth terms in the binomial expansion (x+a)n are 240,720 and 1080 respectively. Find x,a, and n.24. Find (a+b)4 (a-b)4. Hence evaluate (3+2)4 (3-2)425. The sum of first three terms of a G.P. is and their product is 1. Find the common ration and the terms..26. Between 1 and 31, m numbers have been inserted in such a way that the resulting sequence is an A.P. and the ratio of 7th and (m-1)th numbers is 5:9. Find the value of m27. Find the sum to n terms of the series: 1x2x3 + 2x3x4 + 3x4x5+28. Find the co-ordinates of the foot of perpendicular from the point (-1,3) to the line 3x-4y-16=0.29. Assuming that straight lines work as the plane mirror for a point. Find the image of the point (1,2) in the line x-3y+4=0