2022Class 12Set 65/1/140 marks14 questions
13 of its 14 questions are here. The rest have a figure or are still being checked, so for now they're only in the official PDF.
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Source: CBSE Board Examination 2022, Class 12 Mathematics (041), paper 65/1/1, published by CBSE. CBSE's ZIP of every set
Find the sum of the order and the degree of the differential equation: (x + dy/dx)² = (dy/dx)² + 1
In a parallelogram PQRS, PQ⃗ = 3î − 2ĵ + 2k̂ and PS⃗ = −î − 2k̂. Find |PR⃗| and |QS⃗|.
Let A and B be two events such that P(A) = 5/8, P(B) = 1/2 and P(A/B) = 3/4. Find the value of P(B/A).
Two balls are drawn at random from a bag containing 2 red balls and 3 blue balls, without replacement. Let the variable X denotes the number of red balls. Find the probability distribution of X.
Find the values of λ, for which the distance of point (2, 1, λ) from plane 3x + 5y + 4z = 11 is 2√2 units.
Find the vector equation of the plane passing through the intersection of the planes r⃗ · (2î + 2ĵ − 3k̂) = 7 and r⃗ · (2î + 5ĵ + 3k̂) = 9 and through the point (2, 1, 3).