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Mathematics · 2019 · 12 Apr · Shift 1

22 questions from this JEE Main paper

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2019 · 12 Apr · Shift 1
Mathematics

Mathematics · 2019 · 12 Apr · Shift 1

22 questions from this JEE Main paper

Differentiation1 questions Limits Continuity and Differentiability1 questions Complex Numbers1 questions Definite Integration2 questions Functions1 questions Indefinite Integrals1 questions Permutations and Combinations1 questions Matrices and Determinants2 questions Probability1 questions Inverse Trigonometric Functions1 questions Sequences and Series1 questions Trigonometric Ratio and Identites1 questions Application of Derivatives2 questions Vector Algebra1 questions Statistics1 questions Area Under the Curves1 questions Differential Equations1 questions Binomial Theorem1 questions Circle1 questions

Q23.If ey + xy = e, the ordered pair $(\frac{d y}{d x}, \frac{d ^{2} y}{d x ^{2}})$ at x = 0 is equal to :
Mathematics · Differentiation · MCQ
Q24.If $α$ and $β$ are the roots of the equation 375x2 – 25x – 2 = 0, then $n \to \infty lim r = 1 \sum n α^{r} + n \to \infty lim r = 1 \sum n β^{r}$ is…
Mathematics · Limits Continuity and Differentiability · MCQ
Q25.The equation |z – i| = |z – 1|, i = $- 1$ , represents :
Mathematics · Complex Numbers · MCQ
Q26.If $0 \int π /2 \frac{cot x}{cot x + csc x} d x = m (π + n)$ , then $m \cdot n$ is equal to
Mathematics · Definite Integration · MCQ
Q27.For x $\in$ (0, 3/2), let f(x) = $x$ , g(x) = tan x and h(x) = $\frac{1 - x ^{2}}{1 + x ^{2}}$ . If $ϕ$ (x) = ((hof)og)(x), then $ϕ (\frac{π}{3})$ is equal to :
Mathematics · Functions · MCQ
Q28.The integral $\int \frac{2 x ^{3} - 1}{x ^{4} + x} d x$ is equal to : (Here C is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q29.The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and the remaining 21 are distinct, is :
Mathematics · Permutations and Combinations · MCQ
Q30.If $B = 50 α 2 α 23 11 - 1$ is the inverse of a 3 × 3 matrix A, then the sum of all values of $α$ for which det(A) + 1 = 0,…
Mathematics · Matrices and Determinants · MCQ
Q31.If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is :
Mathematics · Probability · MCQ
Q32.The value of $sin^{- 1} (\frac{12}{13}) - sin^{- 1} (\frac{3}{5})$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q33.Let f : R $\to$ R be a continuously differentiable function such that f(2) = 6 and f'(2) = $\frac{1}{48}$ . If $6 \int f (x) 4 t^{3} d t$ = (x - 2)g(x), then $x \to 2 lim g (x)$ is…
Mathematics · Definite Integration · MCQ
Q34.Let Sn denote the sum of the first n terms of an A.P. If S4 = 16 and S6= – 48, then S10 is equal to :
Mathematics · Sequences and Series · MCQ
Q35.The equation y = sinx sin (x + 2) – sin2 (x + 1) represents a straight line lying in :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q36.A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate 25 cm/sec, then the rate (in cm/sec.) at which the bottom of the ladder slides away from the wall on the horizontal ground when…
Mathematics · Application of Derivatives · MCQ
Q37.Let $a = 3 i + 2 j + 2 k$ and $b = i + 2 j - 2 k$ be two vectors. If a vector perpendicular to both the vectors $a + b$ …
Mathematics · Vector Algebra · MCQ
Q38.If the data x1, x2,......., x10 is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum of squares of all of these is 2,000 ; then the standard deviation of this data is :
Mathematics · Statistics · MCQ
Q39.If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = $[25 3 - 1]$ , then AB is equal to :
Mathematics · Matrices and Determinants · MCQ
Q40.If the area (in sq. units) of the region {(x, y) : y2 $\leq$ 4x, x + y $\leq$ 1, x $\geq$ 0, y $\geq$ 0} is a $2$ + b, then a – b is equal to :
Mathematics · Area Under the Curves · MCQ
Q41.Consider the differential equation, $y^{2} d x + (x - \frac{1}{y}) d y = 0$ , If value of y is 1 when x = 1, then the value of x for which y = 2, is :
Mathematics · Differential Equations · MCQ
Q42.The coefficient of x18 in the product (1 + x) (1 – x)10 (1 + x + x2)9 is :
Mathematics · Binomial Theorem · MCQ
Q43.If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90o, then the length (in cm) of their common chord is :
Mathematics · Circle · MCQ
Q44.If m is the minimum value of k for which the function f(x) = x $k x - x^{2}$ is increasing in the interval [0,3] and M is the maximum value of f in [0, 3] when k = m, then the ordered pair (m, M) is equal to :
Mathematics · Application of Derivatives · MCQ