Live practice

Choose a course and topic, attempt each question and open its complete worked solution when you are ready.

Reset
Question 1561
StructuredStandard5 marks
CBSE Class 11 Mathematics · Straight Lines · Distance and intersections

Find the equal-intercept line through the intersection of 4x+7y−3=0 and 2x−3y+1=0.

Question 1562
StructuredStandard5 marks
CBSE Class 11 Mathematics · Sequences and Series · Special series and applications

The kth term of the series is (2k)(2k+2), beginning 2×4, 4×6, 6×8, … . Find its twentieth term.

Question 1563
StructuredStandard4 marks
CBSE Class 11 Mathematics · Trigonometric Functions · Multiple and half angles

Complete every requested part of miscellaneous exercise, question 5: sin x + sin 3x + sin 5x + sin 7x = 4 cos x cos 2x sin 4x (sin 7x + sin 5x ) + (sin 9x + sin 3x )

Question 1564
StructuredStandard5 marks
CBSE Class 11 Chemistry · Equilibrium · Acid-base equilibria and pH

Sr(OH)₂ has solubility \(19.23\,\mathrm{g}\) L⁻¹ at 298 K. Determine

(a)
[Sr²⁺]
(b)
[OH⁻]
(c)
pH.
Question 1565
StructuredStandard3 marks
CBSE Class 11 Chemistry · Structure of Atom · Matter waves and uncertainty principle

A neutron-diffraction instrument uses neutrons of wavelength 800 pm. Calculate their speed.

Question 1566
StructuredStandard5 marks
CBSE Class 11 Mathematics · Limits and Derivatives · Rules of differentiation

Differentiate cosx/(1+sinx).

Question 1567
StructuredStandard5 marks
CBSE Class 11 Mathematics · Conic Sections · Hyperbolas

A hyperbola has foci (±3√5,0) and latus-rectum length 8. Find its equation.

Question 1568
StructuredStandard5 marks
CBSE Class 11 Mathematics · Straight Lines · Distance and intersections

Derive the slopes of lines through the origin making angle θ with y=mx+c.

Question 1569
StructuredStandard5 marks
CBSE Class 11 Mathematics · Sequences and Series · Special series and applications

A ₹12,000 tractor is bought with ₹6,000 cash; the remaining principal is repaid in annual instalments of ₹500 plus 12% interest on the unpaid balance. Find the total cost.

Question 1570
StructuredStandard4 marks
CBSE Class 11 Mathematics · Trigonometric Functions · Multiple and half angles

Complete every requested part of miscellaneous exercise, question 6: = tan 6x (cos 7x + cos 5x ) + (cos 9x + cos 3x ) x 3x