Class 11

Math

Algebra

Sequences and Series

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If $a,b,c,d,e,f$ are $A.M._{′}s$ between $2$ and $12$, then find the sum: $a+b+c+d+e+f$.

A straight line through the vertex $P$ of a triangle $PQR$ intersects the side $QR$ at the point $S$ and the circumcircle of the triangle $PQR$ at the point $T$. If $S$ is not the centre of the circumcircle, then

If $6$ arithmetic means are inserted between $1$ and $29 $, then find the $4_{th}$ arithmetic mean.

If $x_{2}+x_{2}1 =A$ and $x−x1 =B$ then least value of $BA $ is

What is the geometric mean of $6$ and $24$ ?

If there are $3A.M_{′}s$ between $4$ and $84$, find their sum.

If the distinct points on the curve $y=2x_{4}+7x_{3}+3x−5$ are collinear, then find the arithmatic mean of x-coordinates of the aforesaid points