Q68.The value of x→0( (1) 0 (2) 4 (3) −4 (4) −1
What This Question Tests
The question tests the evaluation of a limit involving square roots of trigonometric functions using rationalization and standard trigonometric limit formulas.
Concepts Tested
Formulas Used
lim (sin x)/x = 1 as x→0
(a-b)(a+b) = a^2 - b^2
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
11.3 — The Photoelectric Cut-Off Voltage In A Certain Experiment Is 1.5 V.
Physics Class 12 · Chapter 11
11.3 The photoelectric cut-off voltage in a certain experiment is 1.5 V. What is the maximum kinetic energy of photoelectrons emitted?
📋 Question Details
- Chapter
- Calculus
- Topic
- Limits and Continuity
- Year
- 2021
- Shift
- 27 Jul Shift 2
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 13: Limits and Derivatives
More from this Chapter
Q64.If the tangent to the curve y = x + sin y at a point (a, b) is parallel to the line joining (0, 23 ) and ( 21 , 2) , then (1) b = a (2) |b −a| = 1 (3) |a + b| = 1 (4) b = π2 + a JEE Main 2020 (02 Sep Shift 1) JEE Main Previous Year Paper
Q65.If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4 at x = 2 then p(0) is equal to (1) 6 (2) −12 (3) 24 (4) 12
Q66.Let P(h, k) be a point on the curve y = x2 + 7x + 2 , nearest to the line, y = 3x −3 . Then the equation of the normal to the curve at P is (1) x + 3y + 26 = 0 (2) x + 3y −62 = 0 (3) x −3y −11 = 0 (4) x −3y + 22 = 0
Q67.Area (in sq. units) of the region outside |x|2 + |y|3 = 1 and inside the ellipse x24 + y29 = 1 is (1) 6(π −2) (2) 3(π −2) (3) 3(4 −π) (4) 6(4 −π) x, y > 0, y(0) = 1. If y(π) = a