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Mathematics · 2017 · Shift 0

19 questions from this JEE Main paper

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2017 · Shift 0
Mathematics

Mathematics · 2017 · Shift 0

19 questions from this JEE Main paper

Functions2 questions Permutations and Combinations1 questions Quadratic Equation and Inequalities1 questions Matrices and Determinants2 questions Complex Numbers1 questions Trigonometric Ratio and Identites1 questions Probability2 questions Vector Algebra1 questions Straight Lines and Pair of Straight Lines1 questions Differential Equations1 questions Area Under the Curves1 questions Indefinite Integrals1 questions Definite Integration1 questions Application of Derivatives1 questions Differentiation1 questions Limits Continuity and Differentiability1 questions

Q25.Let $a$ , b, c $\in R$ . If $f$ (x) = ax2 + bx + c is such that $a$ + b + c = 3 and $f$ (x + y) = $f$ (x) + $f$ (y) + xy, $\forall x, y \in R,$ then $n = 1 \sum 10 f (n)$ is equal to
Mathematics · Functions · MCQ
Q26.A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party…
Mathematics · Permutations and Combinations · MCQ
Q27.If for a positive integer n, the quadratic equation $x (x + 1) + (x + 1) (x + 2) + .... + (x + \overline{n - 1}) (x + n)$ $= 10 n$ has two consecutive integral…
Mathematics · Quadratic Equation and Inequalities · MCQ
Q28.If S is the set of distinct values of 'b' for which the following system of linear equations x + y + z = 1 x + ay + z = 1 ax + by + z = 0 has no solution, then S is :
Mathematics · Matrices and Determinants · MCQ
Q29.If $A = [2 - 4 - 3 1]$ , then adj(3A2 + 12A) is equal to
Mathematics · Matrices and Determinants · MCQ
Q30.Let $ω$ be a complex number such that 2 $ω$ + 1 = z where z = $- 3$ . If $111 1 - ω^{2} - 1 ω^{2} 1 ω^{2} ω^{7} = 3 k$ …
Mathematics · Complex Numbers · MCQ
Q31.The function $f : R \to [- \frac{1}{2}, \frac{1}{2}]$ defined as $f (x) = \frac{x}{1 + x ^{2}}$ , is
Mathematics · Functions · MCQ
Q32.If $5 (tan^{2} x - cos^{2} x) = 2 cos 2 x + 9$ , then the value of $cos 4 x$ is :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q33.If two different numbers are taken from the set {0, 1, 2, 3, ........, 10}; then the probability that their sum as well as absolute difference are both multiple of 4, is :
Mathematics · Probability · MCQ
Q34.For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = $\frac{1}{4}$ and P(All the three events occur simultaneously) = $\frac{1}{16}$ . Then the probability that…
Mathematics · Probability · MCQ
Q35.Let $a = 2 i + j - 2 k$ and $b = i + j$ . Let $c$ be a vector such that $c - a = 3$ , $(a \times b) \times c = 3$ …
Mathematics · Vector Algebra · MCQ
Q36.Let k be an integer such that the triangle with vertices (k, – 3k), (5, k) and (–k, 2) has area 28 sq. units. Then the orthocentre of this triangle is at the point :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q37.If $(2 + sin x) \frac{d y}{d x} + (y + 1) cos x = 0$ and y(0) = 1, then $y (\frac{π}{2})$ is equal to :
Mathematics · Differential Equations · MCQ
Q38.The area (in sq. units) of the region ${(x, y) : x \geq 0, x + y \leq 3, x^{2} \leq 4 y an d y \leq 1 + x}$ is
Mathematics · Area Under the Curves · MCQ
Q39.Let $I_{n} = \int tan^{n} x d x, (n > 1) .$ If $I_{4} + I_{6}$ = $a tan^{5} x + b x^{5} + C$ , where C is a constant of integration, then the ordered pair $(a, b)$ is equal to
Mathematics · Indefinite Integrals · MCQ
Q40.The integral $\frac{π}{4} \int \frac{3 π}{4} \frac{d x}{1 + c o s x}$ is equal to
Mathematics · Definite Integration · MCQ
Q41.Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flower-bed, is :
Mathematics · Application of Derivatives · MCQ
Q42.If for $x \in (0, \frac{1}{4})$ , the derivatives of $tan^{- 1} (\frac{6 x x}{1 - 9 x ^{3}})$ is $x . g (x)$ , then $g (x)$ equals
Mathematics · Differentiation · MCQ
Q43. $x \to \frac{π}{2} lim \frac{c o t x - c o s x}{( π - 2 x ) ^{3}}$ equals
Mathematics · Limits Continuity and Differentiability · MCQ