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Question 1411
StructuredStandard3 marks
CBSE Class 11 Chemistry · Structure of Atom · Subatomic particles and atomic symbols

An oil drop in Millikan's experiment carries charge −1.282 × 10⁻¹⁸ C. Determine the number of excess electrons.

Question 1412
StructuredStandard3 marks
CBSE Class 11 Mathematics · Sets · Complement and set identities

Complete: \(A\cup A'=\_\), \(\varnothing'\cap A=\_\), \(A\cap A'=\_\), and \(U'\cap A=\_\).

Question 1413
NumericalStandard3 marks
CBSE Class 10 Science · Electricity · Electric power and energy

Which uses more energy: 250 W television for \(1\,\mathrm{h}\) or 1200 W toaster for 10 min?

Question 1414
StructuredStandard5 marks
CBSE Class 11 Mathematics · Limits and Derivatives · Derivatives from first principles

Differentiate (xⁿ−aⁿ)/(x−a).

Question 1415
StructuredStandard5 marks
CBSE Class 11 Mathematics · Conic Sections · Ellipses

An ellipse has major-axis endpoints (±3,0) and minor-axis endpoints (0,±2). Find its equation.

Question 1416
StructuredStandard5 marks
CBSE Class 11 Mathematics · Straight Lines · Distance and intersections

Prove that the line through (x_1,y_1) parallel to Ax+By+C=0 has equation A(x−x_1)+B(y−y_1)=0.

Question 1417
StructuredStandard5 marks
CBSE Class 11 Mathematics · Sequences and Series · Geometric progressions

Insert two real numbers between 3 and 81 so that all four numbers form a geometric progression.

Question 1418
StructuredStandard4 marks
CBSE Class 11 Mathematics · Linear Inequalities · Compound inequalities

For 12-year-old children, IQ is defined as 100 times mental age divided by chronological age. Convert the IQ band 80 to 140, inclusive, into a mental-age interval.

Question 1419
StructuredStandard4 marks
CBSE Class 11 Mathematics · Trigonometric Functions · Compound-angle identities

Complete every requested part of exercise 3.3, question 12: sin2 6x – sin2 4x = sin 2x sin 10x

Question 1420
StructuredStandard2 marks
CBSE Class 11 Chemistry · Organic Chemistry: Some Basic Principles and Techniques · Electronic effects and reaction mechanisms

Classify CH₃CH₂I+KOH(aq)→CH₃CH₂OH+KI.