Ncert Solutions Maths class 12th

The sum of 162^th power of the roots of the equation $x^3-2x^2+2x-1=0is$ -------------.

Let $\left(\lambda ,2,1\right)$ be a point on the plane which passes which through the point (4, 2, 2). If the plane is perpendicular to the line joining the points (2, 21, 29) and (1, 16, 23), then ${\left(\frac{\lambda }{11}\right)}^2-\frac{4\lambda }{11}-4$ is equal to----------.

If $\sqrt[]{3}\left(co{s}^{2}x\right)=\left(\sqrt[]{3}-1\right)cosx+1,$ the number of solutions of the given equation when x $\in$ $\left[0,\frac{\pi }{2}\right]$ is------.

The area bounded by the lines y = $\left|\left|x-2\right|-2\right|$ is-----------.

Let R = $\left\{\left(P,Q\right)|PandQareatthesamedistancefromtheorigin\right\}$ be a relation, then the equivalence class of (1, 1) is the set

Consider the three planes

P₁ : 3x + 15y + 21z = 9,

P₂ : x – 3y – z = 5, and

P₃ : 2x + 10y + 14z = 5

Then, which one of the following is true?

If $\overrightarrow{a}and\overrightarrow{b}$ are perpendicular, then $\overrightarrow{a}*\left(\overrightarrow{a}*\left(\overrightarrow{a}*\left(\overrightarrow{a}*\overrightarrow{b}\right)\right)\right)$ is equal to

A fair coin is tossed a fixed number of times. If the probability of getting 7 heads is equal to probability of getting heads, then the probability of getting 2 heads is

If (1, 5, 35), (7, 5, 5), (1, $\lambda$ , 7) and $(2\lambda ,1,2)$ are coplanar, then the sum of all possible values of $\lambda$ is

If (1, 5, 35), (7, 5, 5), (1, $\lambda$ , 7) and $(2\lambda ,1,2)$ are coplanar, then the sum of all possible values of $\lambda$ is