Mathematics · 2018 · Shift 1
18 questions from this JEE Advanced paperGuest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
Mathematics · 2018 · Shift 1
18 questions from this JEE Advanced paper
Complex Numbers1 questionsTrigonometric Functions and Equations1 questions3D Geometry1 questionsLimits Continuity and Differentiability3 questionsApplication of Integration2 questionsPermutations and Combinations1 questionsSequences and Series1 questionsInverse Trigonometric Functions1 questionsApplication of Derivatives1 questionsVector Algebra1 questionsQuadratic Equation and Inequalities1 questionsCircle1 questionsEllipse1 questionsProbability2 questions
- Q19.For a non-zero complex number z, let arg(z) denote the principal argument with < arg(z) . Then, which of the following statement(s) is (are) FALSE?Mathematics · Complex Numbers · Multiple correct
- Q20.In a PQR = 30 and the sides PQ and QR have lengths 10 and 10, respectively. Then, which of the following statement(s) is(are) TRUE?Mathematics · Trigonometric Functions and Equations · Multiple correct
- Q21.Let P1 : 2x + y z = 3 and P2 : x + 2y + z = 2 be two planes. Then, which of the following statement(s) is(are) TRUE?Mathematics · 3D Geometry · Multiple correct
- Q22.For every twice differentiable function with , which of the following statement(s) is(are) TRUE?Mathematics · Limits Continuity and Differentiability · Multiple correct
- Q23.Let f : R R and g : R R be two non-constant differentiable functions. If f'(x) = (e(f(x) g(x))) g'(x) for all x R and f(1) = g(2) = 1, then which of the following statement(s) is (are) TRUE?Mathematics · Limits Continuity and Differentiability · Multiple correct
- Q24.Let f : [0, ) R be a continuous function such that for all x [0, ). Then, which of the following statement(s) is (are) TRUE?Mathematics · Application of Integration · Multiple correct
- Q25.The value of is ....................Mathematics · Limits Continuity and Differentiability · Numerical
- Q26.The number of 5 digit numbers which are divisible by 4, with digits from the set {1, 2, 3, 4, 5} and the repetition of digits is allowed, is .................Mathematics · Permutations and Combinations · Numerical
- Q27.Let X be the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11, ...., and Y be the set consisting of the first 2018 terms of the arithmetic progression 9, 16, 23, .... . Then, the number of elements in the set X…Mathematics · Sequences and Series · Numerical
- Q28.The number of real solutions of the equation …Mathematics · Inverse Trigonometric Functions · Numerical
- Q29.For each positive integer n, let . For x R, let [x] be the greatest integer less than or equal to x. If , then the value…Mathematics · Application of Derivatives · Numerical
- Q30.Let a and b be two unit vectors such that a . b = 0. For some x, y R, let . If | | = 2 and the vector c is…Mathematics · Vector Algebra · Numerical
- Q31.Let a, b, c three non-zero real numbers such that the equation , has two distinct real roots and with $\alpha + \beta = {\pi \over…Mathematics · Quadratic Equation and Inequalities · Numerical
- Q32.A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring farmer F2 takes away the region which lies between the sides PQ and a curve of the form y = xn (n > 1). If…Mathematics · Application of Integration · Numerical
- Q33.Let S be the circle in the XY-plane defined the equation x2 + y2 = 4. Let E1E2 and F1F2 be the chords of S passing through the point P0 (1, 1) and parallel to the X-axis and the Y-axis, respectively. Let G1G2 be the chord of S passing…Mathematics · Circle · MCQ
- Q34.Let S be the circle in the XY-plane defined the equation x2 + y2 = 4. Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N. Then, the mid-point…Mathematics · Ellipse · MCQ
- Q35.There are five students S1, S2, S3, S4 and S5 in a music class and for them there are five seats R1, R2, R3, R4 and R5 arranged in a row, where initially the seat Ri is allotted to the student Si, i = 1, 2, 3, 4, 5. But, on the examination…Mathematics · Probability · MCQ
- Q36.There are five students S1, S2, S3, S4 and S5 in a music class and for them there are five seats R1, R2, R3, R4 and R5 arranged in a row, where initially the seat Ri is allotted to the student Si, i = 1, 2, 3, 4, 5. But, on the examination…Mathematics · Probability · MCQ