Mathematics Untold

The order and degree of the differential equation (d²y/dx²)² + (dy/dx)²=x sin(dy/dx) are

The area of the region enclosed by the curve y = sqrt(x) and the lines x = 0 and x = 4 and x-axis is

The corner points of the feasible region of a Linear Programming Problem are (0, 2), (3, 0), (6, 0),

Assertion (A):If A and B are two events such that P(A ∩ B) = 0, then A and B are independent events.

Let A and B be two square matrices of order such that det(A)=3 and det(B)=-4. Find the value of

Assertion(A): in a linear programming problem, if the feasible region is empty , then the linear

CBSE 2025 Class 12th Math Board Paper Solution Set 1 (Part 2) Detailed Explanation Q.P. Code 65/4/1

If p vector and q vectors ,then which of the following values pvector . q vector is not possible

If int 0 to a x dx ≤ a/2 + 6 then| If integration 0 to a x dx less than equal to a by 2 plus 6 then

If A and B are square matrices of same order , then (AB^T - B A^T) is a

The value of cos (π/6 + cot^(-√3)) is | The value of cos{ pie//6 + cot -√3)#itfclass12

The probability distribution of a random variable X is given by X -4 -3 -2 -1 0 P(X) 0.1 0.2 0

α and β are zeroes of a quadratic polynomial px² + qx+ 1. Form a quadratic polynomial whose zeroes a

Rectangle ABCD circumscribes the circle of radius 10 cm. Prove that ABCD is a square. Hence, find t

If the projection of a vector = αi + j+ 4k and b vector=2i+6j+3k is 4 units then α is

Evaluate ∫2x^3 e^(x^2) dx | Integration of 2x^3 e^(x^2) dx | Integral of 2 x cube e power x^2

If |a|=2 |b|=3 and a.b=4 then evaluate| a+2b| | If two vectors a and b are such that |a|=2 |b|=3

Let R be a relation on set of real numbers R defined as {(x,y):x−y+ √3 is an irrational number, x,y

Solve the following linear programming problem graphically: Minimise Z=2x+y subject to constraints

Find int (√tanx + √cot x) dx | Integration of sqrt(tanx) + sqrt(cotx) Integrate root tanx + root cot

CBSE 2025 Class 12th Math Board Paper Solution Set 1 (Part 1) Detailed Explanation Q.P. Code 65/4/1

The sides of a right triangle are such that the longest side is 4 m more than the shortest side and

Express the equation (x-2) / (x-3) + (x-4) /(x-5) = 10/3 ; (x ≠ 3 , 5 )as a quadratic equation in s

The corresponding sides of △ABC and △PQR are in the ratio 3:5. AD Perpendicular to BC and PS

The values of x for which the angle between the vectors a vector=2x²i+4xj+k and b vector=7i-2j+xk is

Int 1/ (sin²x cos²x) dx | ∫1/(sin^2⁡x cos^2⁡x) dx | Integration of 1/(sin^2⁡x cos^2⁡x) | Integral

Let P be a skew symmetric matrix of order 3. If det(P)=α, then (2025)^α is #cbse2025paper #cbse

The principal value of sin inverse cos (43pi/5) is |The value of `sin^(-1)(cos((43pi)/5))

In the following probability distrinbution , the value of p is X 0 1 2 3 P(X) p p 0.3 2p

If PQ vector cross PR vector =4i+8j-8k, then area of triangle PQR is | If PQ​ × PR =4 i^ +8 j^​ −8