List of top Mathematics Questions asked in CBSE Class XI

Find the mean and variance for the data

\(x_i\)	62	93	97	98	102	104	106
\(f_i\)	3	2	3	2	6	3	3

Find the mean and variance for the data

\(x_i\)	6	10	14	18	24	28	30
\(f_i\)	2	4	7	12	8	4	3

Find the mean and variance for the first 10 multiples of 3.

Find the sum to indicated number of terms in each of the geometric progressions in \(\sqrt{7},\sqrt{21},3\sqrt{7},\) ... n terms.

Find the mean and variance for the first n natural numbers.

Calculate the mean deviation about median age for the age distribution of 100 persons given below

Age (in years)	16-20	21-25	26-30	31-35	36-40	41-45	46-50	51-55
Number	5	6	12	14	26	12	16	9

Find the mean deviation about median for the following data

Marks	0-10	10-20	20-30	30-40	40-50	50-60
Number of Girls	6	8	14	16	4	2

Find the mean deviation about the mean for the data

Height in cms	95-105	105-115	115-125	125-135	135-145	145-155
Number of boys	9	13	26	30	12	10

Find the mean deviation about the mean for the data.

Income per day	0-100	100-200	200-300	300-400	400-500	500-600	600-700	700-800
Number of persons	4	8	9	10	7	5	4	3

Find the mean deviation about the median for the data

x_i	15	21	27	30	35
f_i	3	5	6	7	8

Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity, and the length of the latus rectum of the ellipse \(36x^2+4y^2=144\)

Find the mean deviation about the mean for the data

\(x_i\)	10	30	50	70	90
\(f_i\)	4	24	28	16	8

Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity, and the length of the latus rectum of the ellipse \(\dfrac{x^2}{100}+\dfrac{y^2}{400}=1\)

Find \(sin \frac{x}{2},\,cos \frac{x}{2} \,and \,tan\frac{ x}{2}\, for \,cos x=-\frac{1}{2} \,for\,cosx=-\frac{1}{3},\) in quadrant III.

Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity, and the length of the latus rectum of the ellipse \(\dfrac{x^2}{49}+\dfrac{y^2}{36}=1\)

Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity, and the length of the latus rectum of the ellipse \(\dfrac{x^2}{16}+\dfrac{y^2}{9}=1\).

Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity, and the length of the latus rectum of the ellipse \(\dfrac{x^2}{4}+\dfrac{y^2}{25}=1\)

Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity, and the length of the latus rectum of the ellipse\( \dfrac{x^2}{36} + \dfrac{y^2}{16} = 1\)

Find \(sin \frac{x}{2},\,cos \frac{x}{2} \,and \,tan\frac{ x}{2}\, for \,cos x=-\frac{1}{2} \,for\,cosx=-\frac{1}{3},\) in quadrant III.

Find the equation of the parabola that satisfies the following conditions: Vertex \((0, 0)\), passing through \((5, 2) \)and symmetric with respect to the y-axis

\(\text{tan x}=-\frac{4}{3},\text{x\, in\, quadrant \,II.}\)

Prove that \(\frac{(sin 7x+sin 5x)+(sin 9x+sin3x)}{cos 7x+cos5x)+(cos9x+cos3x)}=tan\,6x.\)

Find the equation of the parabola that satisfies the following conditions: Vertex \((0, 0)\) focus \((-2, 0)\)

Find the sum to indicated number of terms in each of the geometric progressions in Exercises 7 to 10: 0.15, 0.015, 0.0015, ... 20 terms.

Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0); focus (3, 0)