If the straight line `xcosalpha+ysinalpha=p` touches the curve `(x^2)/(a^2)-(y^2)/(b^2)=1,` then prove that `a^2cos^2alpha-b^2sin^2alpha=p^2dot`

If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^2)+(y^2)/(b^2)=1 , then prove that a^2\ cos^2alpha+b^2\ sin^2alpha=p^2 .

If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^2)-(y^2)/(b^2)=1 , then p^2dot

If the straight line xcosalpha+ysinalpha=p touches the curve x y=a^2, then prove that p^2=4a^2cosalphasinalphadot

If the line x cosalpha + y sin alpha = P touches the curve 4x^3=27ay^2 , then P/a=

If the line x Cos alpha+y Sin alpha=p touches x^(2)/a^(2)-y^(2)/b^(2)=1 then a^(2) Cos^(2)alpha-b^(2) Sin^(2)alpha=

Find the value of p so that the straight line x cos alpha + y sin alpha - p may touch the circle x^(2) + y^(2)-2ax cos alpha - 2ay sin alpha = 0 .

Find the condition that the line x cos alpha+y sin alpha=p may touch the curve ((x)/(a))^(m)+((y)/(b))^(m)=1

The line x cos alpha +y sin alpha =p is tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. if

The line x cos alpha + y sin alpha =p is tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. if

If a variable straight line x cos alpha+y sin alpha=p which is a chord of hyperbola (x^(2))/(a^(2))=(y^(2))/(b^(2))=1 (b gt a) subtends a right angle at the centre of the hyperbola, then it always touches a fixed circle whose radius, is (a) (sqrt(a^2+b^2))/(ab) (b) (2ab)/(sqrt(a^2+b^2)) (c) (ab)/(sqrt(b^2-a^2)) (d) (sqrt(a^2+b^2))/(2ab)