Mathematics Syllabus (JEE Main)
Download Q&AQ. Find the value of cos(tan^(-1)(1)).
Q. Find the value of cos(tan^(-1)(3)).
Q. Find the value of cos(tan^(-1)(3/4)).
Q. Find the value of cos^(-1)(-1/2).
Q. Find the value of cos^(-1)(0).
Q. Find the value of i^4.
Q. Find the value of k for which the equation x^2 + kx + 16 = 0 has no real roots.
Q. Find the value of k for which the equation x^2 + kx + 9 = 0 has roots that are both negative.
Q. Find the value of k for which the function f(x) = kx^2 + 2x + 1 is differentiable at x = 0.
Q. Find the value of k for which the function f(x) = kx^2 + 3x + 2 is differentiable everywhere.
Q. Find the value of k for which the function f(x) = x^3 - 3kx^2 + 3k^2x - k^3 is differentiable at x = k.
Q. Find the value of k for which the roots of the equation x^2 - kx + 9 = 0 are real and distinct.
Q. Find the value of k if the equation x^2 + kx + 16 = 0 has no real roots.
Q. Find the value of k if the equation x^2 + kx + 9 = 0 has no real roots.
Q. Find the value of k if the vectors A = (1, k, 2) and B = (2, 3, 4) are perpendicular.
Q. Find the value of k such that the coefficient of x^4 in the expansion of (x + k)^6 is 240.
Q. Find the value of k such that the function f(x) = x^2 + kx has a maximum at x = -2.
Q. Find the value of k such that the function f(x) = { kx + 1, x < 1; 2x - 1, x >= 1 } is continuous at x = 1.
Q. Find the value of k such that the function f(x) = { kx + 1, x < 1; 3, x = 1; x^2 + 1, x > 1 is continuous at x = 1.
Q. Find the value of k such that the function f(x) = { kx + 1, x < 2; x^2 - 3, x >= 2 } is continuous at x = 2.
Q. Find the value of k such that the function f(x) = { kx + 2, x < 1; 3, x = 1; 2x + 1, x > 1 } is continuous at x = 1.
Q. Find the value of k such that the function f(x) = { kx, x < 0; 0, x = 0; x^2 + k, x > 0 is continuous at x = 0.
Q. Find the value of k such that the function f(x) = { kx, x < 0; x^2 + 1, x >= 0 is continuous at x = 0.
Q. Find the value of log2(8).
Q. Find the value of m for which the function f(x) = { 2x + m, x < 1; mx + 3, x >= 1 is continuous at x = 1.
Q. Find the value of m for which the function f(x) = { 2x + m, x < 1; x^2 + 1, x >= 1 is continuous at x = 1.
Q. Find the value of m for which the function f(x) = { 2x + m, x < 3; x^2 - 3, x >= 3 } is continuous at x = 3.
Q. Find the value of m for which the function f(x) = { 3x + m, x < 1; 2x^2, x >= 1 is continuous at x = 1.
Q. Find the value of m such that the function f(x) = { x^2 + m, x < 1; 4 - x, x >= 1 } is continuous at x = 1.
Q. Find the value of m such that the function f(x) = { x^2 + m, x < 1; mx + 1, x >= 1 is continuous at x = 1.
