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Question 1401
StructuredStandard5 marks
CBSE Class 11 Mathematics · Conic Sections · Ellipses

An ellipse has vertices (±6,0) and foci (±4,0). Find its equation.

Question 1402
StructuredStandard5 marks
CBSE Class 11 Mathematics · Straight Lines · Distance and intersections

The line through (h,3) and (4,1) is perpendicular to 7x−9y−19=0. Determine h.

Question 1403
StructuredStandard5 marks
CBSE Class 11 Mathematics · Sequences and Series · Geometric progressions

For a, b, c, d in geometric progression, prove (a²+b²+c²)(b²+c²+d²)=(ab+bc+cd)².

Question 1404
StructuredStandard4 marks
CBSE Class 11 Mathematics · Permutations and Combinations · Combinations

From a standard 52-card deck, count five-card selections containing exactly one king.

Question 1405
StructuredStandard4 marks
CBSE Class 11 Mathematics · Linear Inequalities · Compound inequalities

Water is mixed with 1125 L of a 45% acid solution. Determine how much water gives a final acid concentration strictly between 25% and 30%.

Question 1406
StructuredStandard4 marks
CBSE Class 11 Mathematics · Trigonometric Functions · Compound-angle identities

Prove that cos(3π/4+x)−cos(3π/4−x)=−√2 sin x.

Question 1407
StructuredStandard2 marks
CBSE Class 11 Chemistry · Organic Chemistry: Some Basic Principles and Techniques · Purification and qualitative analysis

Choose the most versatile modern method for isolation, purification and separation of organic compounds.

Question 1408
StructuredStandard4 marks
CBSE Class 11 Chemistry · Equilibrium · Acid-base equilibria and pH

The species: H2O, HCO3–, HSO4– and NH3 can act both as Brönsted acids and bases. For each case give the corresponding conjugate acid and base.

Question 1409
StructuredStandard3 marks
CBSE Class 11 Chemistry · Chemical Bonding and Molecular Structure · Hydrogen bonding

Define hydrogen bonding and compare its strength with van der Waals forces.

Question 1410
McqStandard2 marks
CBSE Class 11 Chemistry · Classification of Elements and Periodicity in Properties · Electronegativity and chemical properties

Arrange B, C, N, F and Si in decreasing non-metallic character.