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Mathematics · 2020 · 3 Sep · Shift 1

23 questions from this JEE Main paper

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2020 · 3 Sep · Shift 1
Mathematics

Mathematics · 2020 · 3 Sep · Shift 1

23 questions from this JEE Main paper

Statistics1 questions Inverse Trigonometric Functions1 questions Limits Continuity and Differentiability2 questions Differential Equations1 questions Quadratic Equation and Inequalities1 questions Binomial Theorem1 questions Matrices and Determinants2 questions Permutations and Combinations1 questions Application of Derivatives1 questions Differentiation1 questions Definite Integration1 questions Sets and Relations1 questions Parabola1 questions Area Under the Curves1 questions Hyperbola1 questions Sequences and Series2 questions Vector Algebra1 questions Probability1 questions Complex Numbers1 questions Circle1 questions

Q19.For the frequency distribution : Variate (x) : x1 x2 x3 .... x15 Frequency (f) : f1 f2 f3 ...... f15 where 0 < x1 < x2 < x3 < ... < x15 = 10 and $i = 1 \sum 15 f_{i}$ > 0, the standard deviation cannot be :
Mathematics · Statistics · MCQ
Q20.2 $π$ - $(sin^{- 1} \frac{4}{5} + sin^{- 1} \frac{5}{13} + sin^{- 1} \frac{16}{65})$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q21.Let [t] denote the greatest integer $\leq$ t. If for some $λ \in$ R - {1, 0}, $x \to 0 lim \frac{1 - x + ∣ x ∣}{λ - x + [ x ]}$ = L, then L is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q22.The solution curve of the differential equation, (1 + e-x)(1 + y2) $\frac{d y}{d x}$ = y2, which passes through the point (0, 1), is :
Mathematics · Differential Equations · MCQ
Q23.If $α$ and $β$ are the roots of the equation x2 + px + 2 = 0 and $\frac{1}{α}$ and $\frac{1}{β}$ are the roots of the equation 2x2 + 2qx + 1 = 0, then $(α - \frac{1}{α}) (β - \frac{1}{β}) (α + \frac{1}{β}) (β + \frac{1}{α})$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q24.If the number of integral terms in the expansion of (31/2 + 51/8)n is exactly 33, then the least value of n is :
Mathematics · Binomial Theorem · MCQ
Q25.If $Δ$ = $x - 2 2 x - 3 3 x - 5 2 x - 3 3 x - 4 5 x - 8 3 x - 4 4 x - 5 10 x - 17$ = Ax3 + Bx2 + Cx + D, then B + C is equal to :
Mathematics · Matrices and Determinants · MCQ
Q26.The value of (2.1P0 – 3.2P1 + 4.3P2 .... up to 51th term) + (1! – 2! + 3! – ..... up to 51th term) is equal to :
Mathematics · Permutations and Combinations · MCQ
Q27.The function, f(x) = (3x – 7)x2/3, x $\in$ R, is increasing for all x lying in :
Mathematics · Application of Derivatives · MCQ
Q28.If y2 + loge (cos2x) = y, $x \in (- \frac{π}{2}, \frac{π}{2})$ , then :
Mathematics · Differentiation · MCQ
Q29. $- π \int π ∣ π - ∣ x ∣ ∣ d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q30.Consider the two sets : A = {m $\in$ R : both the roots of x2 – (m + 1)x + m + 4 = 0 are real} and B = [–3, 5). Which of the following is not true?
Mathematics · Sets and Relations · MCQ
Q31.Let P be a point on the parabola, y2 = 12x and N be the foot of the perpendicular drawn from P on the axis of the parabola. A line is now drawn through the mid-point M of PN, parallel to its axis which meets the parabola at Q. If the…
Mathematics · Parabola · MCQ
Q32.The area (in sq. units) of the region { (x, y) : 0 $\leq$ y $\leq$ x2 + 1, 0 $\leq$ y $\leq$ x + 1, $\frac{1}{2} \leq$ x $\leq$ 2 } is :
Mathematics · Area Under the Curves · MCQ
Q33.A hyperbola having the transverse axis of length $2$ has the same foci as that of the ellipse 3x2 + 4y2 = 12, then this hyperbola does not pass through which of the following points?
Mathematics · Hyperbola · MCQ
Q34.If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common difference of this A.P. is :
Mathematics · Sequences and Series · MCQ
Q35.The lines $r = (i - j) + l (2 i + k)$ and $r = (2 i - j) + m (i + j + k)$ …
Mathematics · Vector Algebra · MCQ
Q36.A dice is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of 4. Then the conditional probability that the score 4 has appeared atleast once is :
Mathematics · Probability · MCQ
Q37.If $(\frac{1 + i}{1 - i})^{\frac{m}{2}} = (\frac{1 + i}{1 - i})^{\frac{n}{3}} = 1$ , (m, n $\in$ N) then the greatest common divisor of the least values of m and n is .
Mathematics · Complex Numbers · Numerical
Q38.The diameter of the circle, whose centre lies on the line x + y = 2 in the first quadrant and which touches both the lines x = 3 and y = 2, is .
Mathematics · Circle · Numerical
Q39.If $x \to 0 lim {\frac{1}{x ^{8}} (1 - cos \frac{x ^{2}}{2} - cos \frac{x ^{2}}{4} + cos \frac{x ^{2}}{2} cos \frac{x ^{2}}{4})}$ = 2-k then the value of k is …
Mathematics · Limits Continuity and Differentiability · Numerical
Q40.The value of $(0.16)^{l o g_{2.5} (\frac{1}{3} + \frac{1}{3 ^{2}} + .... t o \infty)}$ is equal to .
Mathematics · Sequences and Series · Numerical
Q41.Let A = $[x 1 10]$ , x $\in$ R and A4 = [aij]. If a11 = 109, then a22 is equal to .
Mathematics · Matrices and Determinants · Numerical