List of top Mathematics Questions asked in CBSE Class XI

A farmer buys a used tractor for Rs 12000. He pays Rs 6000 cash and agrees to pay the balance in annual instalments of Rs 500 plus 12% interest on the unpaid amount. How much will the tractor cost him?

Find the 20th term of the series 2×4+4×6+6×8+ ... + n terms.

Find the equation of the hyperbola satisfying the give conditions: Foci (0, \(±\sqrt{10}\)), passing through (2, 3)

Find the equation of the hyperbola satisfying the give conditions: Vertices (±7, 0), \(e = \frac{4}{3}\)

Find the equation of the hyperbola satisfying the give conditions: Foci (±4, 0), the latus rectum is of length 12.

Find the equation of the hyperbola satisfying the give conditions: Foci (\(± 3\sqrt5, 0\)), the latus rectum is of length 8.

Find the equation of the hyperbola satisfying the give conditions: Foci (0, ±13), the conjugate axis is of length 24.

Find the equation of the hyperbola satisfying the give conditions: Foci (±5, 0), the transverse axis is of length 8.

Find the equation of the hyperbola satisfying the give conditions: Vertices (0, ±3), foci (0, ±5)

Find the equation of the hyperbola satisfying the give conditions: Vertices (0, ±5), foci (0, ±8)

Find the equation of the hyperbola satisfying the give conditions: Vertices (±2, 0), foci (±3, 0)

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola \(49y^ 2 - 16x ^2 = 784\)

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola \(5y^ 2 - 9x^ 2 = 36\)

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that \(a : b =\sqrt{ (m + √m^2 - n^2) }: (m -\sqrt{ √m^2 - n^2)}.\)

Suppose f(x) ={ a+bx, x\(<\)1 4, x=1 b-ax x\(>\)1 and if lim x \(\rightarrow\)1 f(x) = f(1), what are possible values of a and b?

Evaluate \(\lim_{x\rightarrow 5}\) f(x), where f(x) = |x|-5

Evaluate \(\lim_{x\rightarrow 0}\) f(x), where { \(\frac{x}{|x|}\), x≠0 0, x=0

If a and b are the roots of x² – 3x + p = 0 and c, d are roots of x² – 12x + q = 0,where a, b, c, d form a G.P. Prove that (q+p) : (q-p) = 17:15.

If a, b, c, d are in G.P, prove that \( (a^n+ b^n), (b^n+c^n), (c^n+d^n) \)dn) are in G.P.

Evaluate \(\lim_{x\rightarrow 0}\)f(x), where { |x|/x, x≠0 0, x=0

Find \(\lim_{x\rightarrow 1}\) f(x) where { x² -1, x≤1 -x²-1, x>1

Find \(\lim_{x\rightarrow 0}\) f(x) and \(\lim_{x\rightarrow 1}\) f(x) where { 2x+3, x≤0 3 (x+1), x>0

Evaluate the Given limit: \(\lim_{x\rightarrow \frac{\pi}{2}}\frac{tan\,2x}{x}-\frac{\pi}{2}\)