Mathematics questions
18011 published questions with worked solutions.
- An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is...
- If A = bmatrix e^t & e^ -t t & e^ -t t e^t & -e^ -t t - e^ -t t & -e^ -t t + e^ -t t e^t & 2e^ -t t & -2e^ -t t bmatrix then A is:
- The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits...
- If _0^ /3 2k d = 1 - 1 2 , (k > 0), then the value of k is:
- The number of all possible positive integral values of α for which the roots of the quadratic equation, 6x^2 - 11x + = 0 are...
- If the system of linear equations x − 4y + 7z = g, 3y − 5z = h, −2x + 5y − 9z = k is consistent, then:
- If both the roots of the quadratic equation x^2 - mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m...
- If x = ^ -1 ( 10) and y = ^ -1 ( 10), then y − x is equal to:
- Let A = x ∈ R : x is not a positive integer . Define a function f: A → R as f(x) = 2x x - 1 , then f is:
- For each x ∈ R, let [x] be the greatest integer less than or equal to x. Then _ x 0^- x([x] + |x|) [x] |x| is equal to:
- Let A(4, −4) and B(9, 6) be points on the parabola, y^2 = 4x. Let C be chosen on the arc AOB of the parabola, where O is the...
- _ y 0 1 + 1 + y^4 - 2 y^4
- If a, b and c be three distinct real numbers in G.P. and a + b + c = xb, then x cannot be:
- The maximum volume (in cu. m) of the right circular cone having slant height 3 m is:
- The system of linear equations x + y + z = 2, 2x + 3y + 2z = 5, 2x + 3y + (a^2 - 1)z = a + 1
- Let f: R R be a function defined as f(x) = cases 5, & if x 1 a + bx, & if 1 < x < 3 b + 5x, & if 3 x < 5 30, & if x 5 cases ....
- Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the...
- Let α and β be two roots of the equation x^2 + 2x + 2 = 0, then ^ 15 + ^ 15 is equal to:
- If the Boolean expression (p q) ( p q) is equivalent to p q, where ⊕, ⊙ ∈ ∧, ∨ , then the ordered pair (⊕, ⊙) is:Not in JEE syllabus
- Let a = i - j, b = i + j + k and c be a vector such that a c + b = 0 and a c = 4, then | c|^2 is equal to: