For the following questions answer them individually
$$\frac{p}{a}+\frac{q}{b}+\frac{r}{c}=1$$ and $$\frac{a}{p}+\frac{b}{q}+\frac{c}{r}=0$$ where p,q,r and a,b,c are non-zero then the value of $$\frac{p^2}{a^2}+\frac{q^2}{b^2}+\frac{r^2}{c^2}$$ is
If x is a rational number and $$\frac{(x+1)^3-(x-1)^3}{(x+1)^2-(x-1)^2}=2$$ then the sum of numerator and denominator of x is
The area in sq. unit. of the triangle formed by the graphs ofx= 4, y= 3 and 3x+ 4y= 12 is
If a= 2.234, b = 3.121 and c = -5.355, then the value of $$a^{3} +b^{3} + c^{3}$$ - 3 abc is
If 3 (a^{2} + b^{2} + c^{2} ) = (a + b + c)^{2} , then the relation between a, b and c is
If $$(sin α + cosec α)^{2} + (cos α + sec α)^{2} = k + tan^{2}α + cot^{2}α,$$ then the value of k is
The angle of elevation of the top of a vertical tower situated perpendicularly on a plane is observed as 60° from a point P on the same plane. From another point Q, 10m vertically above the point P, the angle of depression of the foot of the tower is 30°. The height of the tower is
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