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Mathematics · 2019 · 9 Apr · Shift 1

22 questions from this JEE Main paper

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2019 · 9 Apr · Shift 1
Mathematics

Mathematics · 2019 · 9 Apr · Shift 1

22 questions from this JEE Main paper

Statistics1 questions Quadratic Equation and Inequalities1 questions Limits Continuity and Differentiability2 questions Application of Derivatives1 questions Definite Integration1 questions Vector Algebra1 questions Complex Numbers1 questions Matrices and Determinants2 questions Functions2 questions Parabola1 questions Trigonometric Ratio and Identites1 questions Probability1 questions Area Under the Curves1 questions Sequences and Series1 questions Indefinite Integrals1 questions Differential Equations1 questions Binomial Theorem1 questions Permutations and Combinations1 questions Straight Lines and Pair of Straight Lines1 questions

Q23.If the standard deviation of the numbers –1, 0, 1, k is $5$ where k > 0, then k is equal to
Mathematics · Statistics · MCQ
Q24.Let p, q $\in$ R. If 2 - $3$ is a root of the quadratic equation, x2 + px + q = 0, then :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q25.Let ƒ(x) = 15 – |x – 10|; x $\in$ R. Then the set of all values of x, at which the function, g(x) = ƒ(ƒ(x)) is not differentiable, is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.If ƒ(x) is a non-zero polynomial of degree four, having local extreme points at x = –1, 0, 1; then the set S = {x $\in$ R : ƒ(x) = ƒ(0)} Contains exactly :
Mathematics · Application of Derivatives · MCQ
Q27.The value of $0 \int π /2 \frac{s i n ^{3} x}{s i n x + c o s x} d x$ is
Mathematics · Definite Integration · MCQ
Q28.Let $α = 3 i + j$ and $β = 2 i - j + 3 k$ . If $β = β_{1} - β_{2}$ , where $β_{1}$ …
Mathematics · Vector Algebra · MCQ
Q29.All the points in the set $S = {\frac{α + i}{α - i} : α \in R} (i = - 1)$ lie on a :
Mathematics · Complex Numbers · MCQ
Q30.If $[1011] [1021] [1031]$ .... $[10 n - 1 1] = [10781]$ …
Mathematics · Matrices and Determinants · MCQ
Q31.If the function ƒ : R – {1, –1} $\to$ A defined by ƒ(x) = $\frac{x ^{2}}{1 - x ^{2}}$ , is surjective, then A is equal to
Mathematics · Functions · MCQ
Q32.If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is :
Mathematics · Parabola · MCQ
Q33.If the function ƒ defined on , $(\frac{π}{6}, \frac{π}{3})$ by $f (x) = {\frac{2 cosx o l imi t s - 1}{c o t x - 1}, k, x e \frac{π}{4} x = \frac{π}{4}$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q34.The value of cos210° – cos10°cos50° + cos250° is
Mathematics · Trigonometric Ratio and Identites · MCQ
Q35.Let $k = 1 \sum 10 f (a + k) = 16 (2^{10} - 1)$ where the function ƒ satisfies ƒ(x + y) = ƒ(x)ƒ(y) for all natural numbers x, y and ƒ(1) = 2. then the natural number 'a' is
Mathematics · Functions · MCQ
Q36.Four persons can hit a target correctly with probabilities $\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{1}{4}$ and $\frac{1}{8}$ respectively. if all hit at the target independently, then the probability that the target would be hit, is :
Mathematics · Probability · MCQ
Q37.Let $α$ and $β$ be the roots of the equation x2 + x + 1 = 0. Then for y $e$ 0 in R, $y + 1 α β α y + β 1 β 1 y + α$ …
Mathematics · Matrices and Determinants · MCQ
Q38.The area (in sq. units) of the region A = {(x, y) : x2 $\leq$ y $\leq$ x + 2} is
Mathematics · Area Under the Curves · MCQ
Q39.Let the sum of the first n terms of a non-constant A.P., a1, a2, a3, ..... be $50 n + \frac{n ( n - 7 )}{2} A$ , where A is a constant. If d is the common difference of this A.P., then the ordered pair (d, a50) is equal to
Mathematics · Sequences and Series · MCQ
Q40.The integral $\int se c^{2/3} x cose c^{4/3} x dx$ is equal to (Hence C is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q41.The solution of the differential equation $x \frac{d y}{d x} + 2 y$ = x2 (x $e$ 0) with y(1) = 1, is :
Mathematics · Differential Equations · MCQ
Q42.If the fourth term in the binomial expansion of $(\frac{2}{x} + x^{l o g_{8} x})^{6}$ (x > 0) is 20 × 87, then a value of x is :
Mathematics · Binomial Theorem · MCQ
Q43.A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at least 6 males and n is the number of ways the committee is formed with at least 3 females, then :
Mathematics · Permutations and Combinations · MCQ
Q44.Slope of a line passing through P(2, 3) and intersecting the line, x + y = 7 at a distance of 4 units from P, is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ