List of top Questions asked in CBSE Class XI

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.

Express the following expression in the form of a + ib.

\(\dfrac{(3+i√5)(3-i√5)}{(√3+√2i)-(√3-i√2)}\)

Find the multiplicative inverse of the complex number \(-i\)

Prove that  \(cot^2 \frac{π}{6}+cosec \frac{5π}{6}+3\,tan^2 \frac{π}{6}=6\)
Find the multiplicative inverse of the complex number \( 4 - 3i\)
Find the value of the trigonometric function \(sin (-\frac{11π}{3}).\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = 2n.
Express the given complex number in the form\( a + ib: (-2-\dfrac{1}{3}i)^3\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = \(\frac {n}{n} + 1\)
Find the value of the trigonometric function cot \((-\frac{15π}{4})\)
Express the given complex number in the form \(a + ib: i^{9} + i^{19}\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = n (n + 2).
Express the given complex number in the form \(a + ib: (\dfrac{1}{3}+3i)^3\)