List of top Mathematics Questions asked in CBSE Class XI

Find the equation for the ellipse that satisfies the given conditions \(b =3\), \(c =4\), center at the origin; foci on the \(x-axis.\)

Find the equation for the ellipse that satisfies the given conditions: Ends of major axis \((±3,0)\) ends of the minor axis \((0,±2)\)

Find the equation for the ellipse that satisfies the given conditions: Vertices \((0, ±13),\) foci \((0, ±5)\)

From the data given below state which group is more variable, A or B?

Find the mean, variance and standard deviation using short-cut method.

Height in cms	70-75	75-80	80-85	85-90	90-95	95-100	100-105	105-110	110-115
No. of children	3	4	7	7	15	9	6	6	3

Find the mean and variance for the following frequency distribution.

Classes	0-10	10-20	20-30	30-40	40-50
Frequencies	5	8	15	16	6

Find the mean and variance for the following frequency distribution.

Classes	0-30	30-60	60-90	90-120	120-150	150-180	180-210
Frequencies	2	3	5	10	3	5	2

Find the mean and standard deviation using short-cut method.

\(x_i\)	60	61	62	63	64	65	66	67	68
\(f_i\)	2	1	12	29	25	12	10	4	5