Question
Two tangents are drawn from an external point P to a
circle with center O and radius r. If the distance between P and O is 2r, find the angle subtended by the tangents at P.Solution
The tangents from an external point are equal in length. Let the angle subtended by the tangents at the center be 2θ, then OP is the hypotenuse of the right triangle OAP, where OA is the radius, and PA is the tangent. Using the relationship cos(θ) = r / 2r = 1/2, we get θ = 60°. Hence, the angle subtended by the tangents at P is 2 * 60° = 120°.
For the 2 variables x and y with the same mean, the regression equation are y = 5x+b and x=7y +c. Calculate b/c
Consider an economy described by the following equations:
C = 100 + 0.6 ∗ (Y − T) (consumption function)
For the following demand curve, Q=10P-1 , calculate the profit made by the monopolist when Total cost is Rs.2Q and he sells discrete goods i....
When we say that the estimator is BLUE. What does best signify here?
In the standard IS-LM model, an increase in Government spending (G) without changing taxes has
When the expected future marginal product of capital increases, then the IS curve  Â
Which of the following statements is incorrect?
Any straight-line supply curve that has a positive horizontal intercept has an elasticity of supply
In a perfectly competitive market, a firm’s long run supply curve is
