1) A chord passing through the center of circle is called a) The secant of the circle b) The tangent of the circle c) The arc of then circle d) The diameter of the circle 2) (-x,2y) =(2,0) then x,y are a) 2,0 b) 0,2 c) -2,0 d) 0,-2 3) What is the area of the rectangular room with the length of 5-3i and width of 2i a) 6+10i b) 5-i c) 1- i d) None of these 4) According to addition properties of inequalities a+c a) a<b b) a c) a=b d) a<c 5) If a plane passes via a vertex of the cone then the intersection is a) An ellipse b) A hyperbola c) A point circle d) A parabola 6) Graph of horizontal straight line represent? 7) Which geometric series has r 0.5? 8) When a point divides internally a line then finds the coordinates? 9) If A is subset of B then B is super set of A this condition holds for which option? 10) A function is even when? 11) Parametric equation represents? a) A parabola b) A hyperbola c) An ellipse d) A circle 12) Find the radius and center of a circle from a given line. 13) lim x -> 8 (lnx/x) = a) 0 b) 1 c) -1 d) None 14) tn = ((-1/3)^n)*t (n-1) (n-1 is in subscript of t), and t1 = 1 this is in a) AP b) GP c) HP d) None 15) A is a subset of phie a) A= [0] b) A=[0,phie] c) A is undefined d) A=[phie] 16) What is the probability that you pick a queen or a face card from a set of 52 cards? a) 14/3 17) Permutation of COCOCOLA. 18) What is the order of differential equations? 19) What is the order of highest derivative? 20) Integral of 0 is? 21) Additive inverse of complex number (a,b) 22) P(2,2), Q (-2,2) and R(k,2) find value of k if right angle is at P. 23) If the area of a square is 625, then its perimeter will be a) 100 b) 50 c) 25 d) 200 24) The sum of all fourth root of unity is a) 1 b) 0 c) -1 d) W 25) Solve cos[cos-1(4/5)+sin-1(3/5)]. 26) Solve: value of a in x^4+x^3+ax+1 when the root of equation is 1. 27) sum of all 100 integers: a) 8050 b) 8500 c) 8550 d) 5050 28) What is derivative of cos? w.r.t to tan?? 29) a quadrilateral having opposite angles congruent is a) square b) triangle c) parallelogram d) rectangle 30) Calculate the length of diagonal if its width is 8 cm and length is 10cm? a) under root 64 b) Under root 36 c) 12 d) 9 31) (1+tan^2x)(1-sin^2)=? |
Given below is the Comparison of the Statistics of ECAT 2015 with the stats of last few years. It clearly indicates that merit is going to fall this year. It might fall as much as 1% or even more. Marks Interval Number of Candidates ECAT 2011 ECAT 2012 ECAT 2013 ECAT 2014 ECAT 2015 Students with marks 0 or Less than 0 408 235 203 248 63 01 - 50 7813 4734 5423 5421 7465 51 - 100 12222 10435 14389 12748 16370 101 - 150 7304 10563 11978 12591 10434 151 - 200 3131 6670 7063 7004 4446 201 - 250 630 2798 2965 2384 1351 251 - 300 43 667 672 488 255 301 - 400 02 114 86 17 41 Total Number of Candidates 31553 36216 42779 40985 40425 Average Marks 96 118 107 107.5 96 The merit this year is going to be lower than the merit of 2012, 2013 & 2014 but will be higher than the merit of 2011. Credits: SWAMI M...
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