Tiêu đề ASSIGNMENT XII CBSE EXAMS (ALL CHAPTERS).pdf ✅

Conquer Mathematics with Consistent Practice........ Meena Bagga Page 4 Conquer Mathematics XII Mathematics An Assignment of Previous Year Questions from CBSE Exams (ii) | x + a x x x x + a x x x x + a | = 0 35. Find the value of k so that the following function is continuous at x = 2 : f(x) = { x 3−5x 2−4x+20 (x−2) 2 ; x ≠ 2 k ; x = 2 } 36. Find the value of k so that the following function is continuous at x = π 2 : f(x) = { k cos x π−2x ; x ≠ π 2 5 ; x = π 2 } 37. If f(x), defined by the following, is continuous at x = 0, find the values of a, b and c. Where f(x) = { sin(a+1)x+sin x x ; if x < 0 c ;ifx = 0 √x+bx 2−√x bx 3⁄2 ; if x > 0} 38. Let f(x) = { 1−cos 4x x 2 ; if x < 0 a ; if x = 0 √x √16+√x−4 ; if x > 0 } . If f(x) is continuous at x = 0, determine the value of a. 39. Find all points of discontinuity of f, where f is defined as follows : f(x) = { |x| + 3, x ≤ −3 −2x, − 3 < x < 3 6x + 2, x ≥ 3 } 40. Find the value of ′a′ for which the function f defined as f(x) = { a sin [ π 2 (x + 1)], x ≤ 0 tan x−sin x x 3 , x > 0 } is continuous at x = 0. 41. Find the value of k, for which f(x) = { √1+kx−√1−kx x ; if − 1 ≤ x < 0 2x+1 x−1 ; if 0 ≤ x < 1 } is continuous at x = 0. 42. Find the value of the constant k so that the function f, defined below, is continuous at x = 0, where f(x) = { 1−cos 4x 8x 2 ; if x ≠ 0 k ; if x = 0 } www.conquermathematics.in