Answer available
Class 11 · Mathematics · Correlation Analysis
When is Spearman's rank correlation used in preference to Karl Pearson's coefficient?
3 marksMediumShort answer
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110 questions
- Answer available
Class 11 · Mathematics · Sets
In a survey of 100 students, 60 read newspaper A, 50 read newspaper B and 30 read both. How many read at least one, and how many read neither?
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Sequence and Series
Find the sum of the first 15 terms of the arithmetic progression 2, 5, 8, ...
2 marksEasyNumerical
- Answer available
Class 11 · Mathematics · Relations and Functions
If A = {1, 2} and B = {a, b}, write A × B and state the number of relations from A to B.
2 marksEasyNumerical
- Answer available
Class 11 · Mathematics · Trigonometric Functions
Find the general solution of cos θ = 0.
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Introduction to Three-Dimensional Geometry
A line makes equal angles with all three coordinate axes. Find its direction cosines.
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Quadratic Equations
If α and β are the roots of x2 − 5x + 6 = 0, find α2 + β2.
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Permutations and Combinations
In how many ways can a committee of 5 be formed from 6 men and 4 women so that it has exactly 3 men?
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Permutations and Combinations
How many diagonals does a decagon have?
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Introduction to Three-Dimensional Geometry
Find the centroid of the triangle whose vertices are (1, 2, 3), (4, 5, 6) and (7, 8, 9).
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Relations and Functions
Find the domain and range of f(x) = x2 + 1 for real x.
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Introduction to Three-Dimensional Geometry
Name the eight octants of three-dimensional space and state the signs of the coordinates in the first octant.
2 marksEasyShort answer
- Answer available
Class 11 · Mathematics · Probability
A card is drawn from a pack of 52. Find the probability that it is a spade or a king.
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Straight Lines
Find the distance between the parallel lines 3x + 4y + 5 = 0 and 3x + 4y − 10 = 0.
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Circles
Find the centre and radius of the circle x2 + y2 − 6x + 4y − 12 = 0.
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Conic Sections
For the ellipse x2/16 + y2/9 = 1, find the eccentricity and the length of the latus rectum.
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Quadratic Equations
Form the quadratic equation whose roots are 3 and −7.
3 marksMediumNumerical
- Answer available
Class 11 · Mathematics · Correlation Analysis
What is correlation? State the range of Karl Pearson's coefficient of correlation and what its extreme values mean.
2 marksEasyShort answer
- Answer available
Class 11 · Mathematics · Trigonometric Functions
Prove that cos 2A = 1 − 2sin2A.
3 marksMediumStructured
- Answer available
Class 11 · Mathematics · Statistics
Find the standard deviation of the first five natural numbers.
3 marksMediumNumerical