List of top Mathematics Questions asked in CBSE Class XI

The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Show that q2 = ps.
Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.
\(cos(\frac{3{\pi}}{2}+x)cos(2{\pi}+x)[cot(\frac{3{\pi}}{2}-x)+cot(2{\pi}+x)]=1\)
Prove that. \(\frac{cos(π+x)cos(-x)}{sin(π-x)cos(\frac{π}{2}+x)}=cot^2x\)
The Fibonacci sequence is defined by 1 = a1 = a2 and an = an – 1 + an – 2, n > 2. Find an + \(\frac{1}{an}\) , for n = 1, 2, 3, 4, 5.
Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: a1 = a2 = 2, an = an-1 -1, n > 2.
Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: a1 = -1, an = \(\frac{an-1}{n}\), n ≥ 2.

Find the center and radius of the circle \( 2x^2 + 2y^2 - x = 0\)

Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: a1 = 3, an = 3an – 1 + 2 for all n > 1.
Find the center and radius of the circle \(x^2 + y^2 - 8x + 10y - 12 = 0\)
Find the indicated terms in each of the sequences in Exercises 7 to 10 whose n th terms are: an = n\(\frac{(n-2)}{n+3}\) ; a20.
Find the center and radius of the circle \((x + 5)^2 + (y - 3)^2 = 36\)

Find the indicated terms in each of the sequences in Exercises 7 to 10 whose n th terms are: an = (-1)n-1 n3 ; a9

Find the equation of the circle with the center \((-a,-b)\) and radius \(√(a^2-b^2)\)

Find the indicated terms in each of the sequences in Exercises 7 to 10 whose n th terms are: an = \(\frac{n2}{2n}\) ; a7.

Find the equation of the circle with the center \((1,1)\) and radius.\((r) = √2.\)

Find the indicated terms in each of the sequences in Exercises 7 to 10 whose n th terms are: an = 4n – 3; a17 , a24.
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = n n2 + \(\frac{5}{4}\).
Prove that  \(2sin^2 \frac{3π}{4}+2\,cos^2 \frac{π}{4}+2\,sec^2 \frac{π}{3}=10\)
Prove that, \(cos(\frac{\pi}{4}-x)cos(\frac{\pi}{4}-y)-sin(\frac{\pi}{4}-x)sin(\frac{\pi}{4}-y)=sin(x+y)\)

Find the equation of the circle with the center \( (\dfrac{1}{2},\dfrac{1}{4})\) and radius  \(\dfrac{1}{12} \)

Find the value of (i) sin 75° (ii) tan 15°
Find the equation of the circle with the center \((-2, 3) \) and radius \(4\).
Find the equation of the circle with the center \((0, 2) \)and radius \(2\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = (-1)n - 1 5n + 1.