| Questions | GUJCET Maths Answer Key 2025 |
| Area of rectangle having vertices A, B, C, and D, with position vectors... | 2 |
| The shortest distance between the lines.... | √(293/49) |
| The angle between the pair of lines... | cos-18√3/15 |
| The coordinates of the corner points of the bounded feasible region are... | 3000 |
| The maximum value of z=5x+3y... | 25 |
| Two events E and F are independent. If P(E)=3/5 and ... | 11/10 |
| Let A and B be two events such that P(A)=3/8,... | 1/5 |
| A man is known to speak truth 4 out of 5 times. He throws a die and reports that it is a six. The probability that actually there was a six is __________ | 4/9 |
| Let A={1,2,3}. Then number of relations containing (1,2) which are symmetric and transitive but not reflective is _________ | 1 |
| Let f:R-->R be defined as f(x)=x3. Then f is ____ | One-one and onto |
| The number of real solutions of the equation,... | 2 |
| Let A be an invertible square matrix of order 3 x 3. The |(adj. A).A| is __________ | |A|3 |
| Find the area of a triangle given that the midpoints of its sides are (2,7), (1,1), and (10,8). | 94 |
| If the matrix is symmtric matrix, then the value of x is _________ | -2 |
| If A=[0 1 1 0] then (A+I)3 + (A-I)3 = _______ | 8A |
| For matrix A, A2-2I= KA then K= _____ | 7 |
| The total cost C(x) in rupees associated with the production of x units... | 3.15 |
| The function f(x) = tan x - 4x is strictly decreasing on _________ | (-π/3,π/2) |
| The absolute minimum value of the function f(x) = x³ - 18x² + 96x, xE[0,9] is ____ | 0 |
| If ∫(3eˣ-5e⁻ˣ/4eˣ+5e⁻ˣ)dx = px+q.log|4eˣ+5e⁻ˣ|+C, then p= ____ and q= _________ | p=-1/8,q=7/8 |
| ∫tan⁻¹x(1+x+x²/1+x²)dx = ____ + C | x.eᵗᵃⁿ⁻¹ˣ |
| ∫_0^(x/4) sqrt(1+sin2x) dx | 1 |
| ∫(dx/√(4x-9x²)) = ____ + C | 1/3sin⁻¹(9x-2/2) |
| If ∫tan⁻¹xdx = Ax.tan⁻¹x + Blog(1+x²) + C, then A+B = _______ | 1/2 |
| The area bounded by the curve y = sinx between x = -π/2 and x = π/2 is ____________ | 2 |
| Area of the region bounded by the curve x² = 4y and the line y = 3 is ____________ | 4√3 |
| Area of the region bounded by the curve y = x³ , x-axis and the ordinates x = -1 and the x = 2 is ___________ | 17/4 |
| The degree of the differential equation (1+dy/dx)³ = (d²y/dx²)² is __________ | 2 |
| The general solution of the differential equation dy/dx = eʸ⁻ˣ is e⁻ˣ-e⁻ʸ = ___________ | c |
| The integrating Factor of the differential equation x.(dy/dx) + 2y = x², (x ≠ 0) is ________ | x² |
| i^.(k^xj^) + j^.(i^xk^) + k^(i^xj^) | -1 |
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