Question
Q.1.A circle is given by x^2+2Mx+y^2+2Ny=Q. Assume that the cirecle has two x-intercepts x_1,x_2 and two y-intercepts y_1,y_2. Then the ratio of frac {x_1+x_2}{y_1+y_2} is:
Q.1.A circle is given by x^2+2Mx+y^2+2Ny=Q. Assume that the cirecle has two x-intercepts x_1,x_2 and two y-intercepts y_1,y_2. Then the ratio of \frac
{x_1+x_2}{y_1+y_2} is:
a, \frac{M}{N}
b.\frac{M^2}{N^2}
c. M^2
d.\frac{Q}{M+N}
Q.2 A circle is tangent to the x-axis, the y-axis and a straight line given by y=-\sqrt{3}x+5\sqrt{3}+15. The radius of the circle is: a. 5 b. 5\sqrt{3} c. 10 d. Such a circle will not exist
Q.3. If f(x)=ln(1-\frac{1}{x^2}). The value of f(2)+f(3)+f(4) is: a. ln\frac{5}{8} b. ln\frac{5}{4} c. ln\frac{8}{5} d. None of the above
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