Introduction to...

The federal government in the United States has the authority to protect species whose populations have reached dangerously low levels. The figure above represents the expected populations of a certain endangered species before and after a proposed law aimed at protecting the animal is passes. Based on the graph, which of the following statements is true?

The possible range of values in which area of quadrilateral which straight line cuts off from the given triangle lie in

The possible range of values in which area of quadrilateral which straight line cuts off from the given triangle lie in:

The chart below represents the average amount of rain falling each month in the town of Tegulpa. During which month of the year does the most rain fall?

Let S be the touching $$2x + y = 4$$ at $$(1,2)$$ and bisecting the circumference of $$x^2+y^2 = 3$$ then

The maximum number of points with rational co-ordinates on a circle whose centre is $$(\sqrt {3}, 0)$$ is

If PQ is a chord of Parabola $$x^{2} = 4y$$ which subtends right angle at vertex. Then locus of centroid of triangle PSQ (S is locus) is a parabola whose 

Origin is shifted to $$\displaystyle \left( \frac{9}{2}, p \right)$$. If the new equation of the locus $$y^2 + 2x - 8y + 7 = 0$$ does not contain a term in Y, then p =

If $$A = (at^{2}, 2at); B \left (\dfrac {a}{r^{2}}, \dfrac {-2a}{t}\right )$$ and $$S(a, 0)$$ then $$1/SA + 1/ SB =$$

From a point on the line 4x - 3y = 6 tangents are drawn to the circle $$x^{2} + y^{2} - 6x - 4y + 4 = 0$$ which make an angle of $$tan^{-1} \dfrac{24}{7}$$ between them, then the coordinates of all such points are