CDS JEE Main 2023 Mixed — practice questions
25 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CDS JEE Main 2023 Mixed in the app →Value of ∫₀^(π/2) sin² x dx:Number of arrangements of letters in 'BANANA':For matrix A = [[1, 2], [3, 4]], det(A):lim_(x→0) (e^x - 1)/sin x =Number of ways to choose 4 students from class of 10 if 2 specific students must be included:Solution of differential equation dy/dx = y/x:Two cards drawn from a deck of 52 (without replacement). P(both aces):Number of solutions of sin x = 1/2 in [0, 2π]:For vectors a, b with |a| = |b| = 1 and a · b = 1/2, angle:Equation of circle with center (1, -2) and radius 3:Coefficient of x² in expansion of (1 + 2x)¹⁰:Number of integers between 1 and 100 (inclusive) divisible by 3 or 5:Slope of tangent to y = x² + 3x at point (1, 4):sec²(arctan(2)) =Argument of complex number 1 + i:Sum of first 10 terms of AP with a = 3, d = 2:For GP with first term 2 and common ratio 1/2, sum to infinity:Distance from point (1, 2, 3) to plane x + y + z - 6 = 0:Roots of equation x² - 5x + 6 = 0:sin(75°) =In a triangle ABC, if a = 2, b = 3, C = 60°, find c (using cosine rule):Find eigenvalues of [[3, 1], [1, 3]]:For y = cos x, y'' + y =If f(x) = x³ - 3x² + 2, find x where local maximum occurs:Integration: ∫ tan(x) dx =