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Mathematics · 2020 · 5 Sep · Shift 2

17 questions from this JEE Main paper

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2020 · 5 Sep · Shift 2
Mathematics

Mathematics · 2020 · 5 Sep · Shift 2

17 questions from this JEE Main paper

Statistics1 questions Differential Equations1 questions Sequences and Series1 questions Complex Numbers1 questions Matrices and Determinants2 questions Limits Continuity and Differentiability1 questions Vector Algebra1 questions Area Under the Curves1 questions Functions1 questions Trigonometric Ratio and Identites1 questions Indefinite Integrals1 questions Circle1 questions Quadratic Equation and Inequalities1 questions Differentiation1 questions Application of Derivatives1 questions Permutations and Combinations1 questions

Q19.If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of the equation :
Mathematics · Statistics · MCQ
Q20.Let y = y(x) be the solution of the differential equation cosx $\frac{d y}{d x}$ + 2ysinx = sin2x, x $\in$ $(0, \frac{π}{2})$ . If y $(\frac{π}{3})$ = 0, then y $(\frac{π}{4})$ is…
Mathematics · Differential Equations · MCQ
Q21.If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eighth terms is 243, then the sum of the first 50 terms of this G.P. is :
Mathematics · Sequences and Series · MCQ
Q22.The value of $(\frac{- 1 + i 3}{1 - i})^{30}$ is :
Mathematics · Complex Numbers · MCQ
Q23.If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then $x y z a + y b + y c + y x + a y + b z + c$ …
Mathematics · Matrices and Determinants · MCQ
Q24. $x \to 0 lim \frac{x ( e ^{(1 + x^{2} + x^{4} - 1) / x} - 1 )}{1 + x ^{2} + x ^{4} - 1}$
Mathematics · Limits Continuity and Differentiability · MCQ
Q25.If the system of linear equations x + y + 3z = 0 x + 3y + k2z = 0 3x + y + 3z = 0 has a non-zero solution (x, y, z) for some k $\in$ R, then x + $(\frac{y}{z})$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q26.Let the vectors $a$ , $b$ , $c$ be such that $a = 2$ , $b = 4$ and $c = 4$ . If the…
Mathematics · Vector Algebra · Numerical
Q27.The area (in sq. units) of the region A = {(x, y) : (x – 1)[x] $\leq$ y $\leq$ 2 $x$ , 0 $\leq$ x $\leq$ 2}, where [t] denotes the greatest integer function, is :
Mathematics · Area Under the Curves · MCQ
Q28.Let A = {a, b, c} and B = {1, 2, 3, 4}. Then the number of elements in the set C = {f : A $\to$ B | 2 $\in$ f(A) and f is not one-one} is .
Mathematics · Functions · Numerical
Q29.If L = sin2 $(\frac{π}{16})$ - sin2 $(\frac{π}{8})$ and M = cos2 $(\frac{π}{16})$ - sin2 $(\frac{π}{8})$ , then :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q30.If $\int \frac{c o s θ}{5 + 7 s i n θ - 2 c o s ^{2} θ} d θ$ = A $lo g_{e} ∣ B (θ) ∣ + C$ , where C is a constant of integration, then $\frac{B ( θ )}{A}$ can be :
Mathematics · Indefinite Integrals · MCQ
Q31.If the length of the chord of the circle, x2 + y2 = r2 (r > 0) along the line, y – 2x = 3 is r, then r2 is equal to :
Mathematics · Circle · MCQ
Q32.If $α$ and $β$ are the roots of the equation, 7x2 – 3x – 2 = 0, then the value of $\frac{α}{1 - α ^{2}} + \frac{β}{1 - β ^{2}}$ is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q33.The derivative of $tan^{- 1} (\frac{1 + x ^{2} - 1}{x})$ with respect to $tan^{- 1} (\frac{2 x 1 - x ^{2}}{1 - 2 x ^{2}})$ at x = $\frac{1}{2}$ is :
Mathematics · Differentiation · MCQ
Q34.If x = 1 is a critical point of the function f(x) = (3x2 + ax – 2 – a)ex , then :
Mathematics · Application of Derivatives · MCQ
Q35.There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose…
Mathematics · Permutations and Combinations · MCQ