Home
Class 11
MATHS
यदि रेखा xcosalpha+ysinalpha=p वृत्त x^(...

यदि रेखा `xcosalpha+ysinalpha=p` वृत्त `x^(2)+y^(2)=a^(2)` को A तथा B स्थानों पर प्रतिच्छेदित करती है। सिद्ध कीजिए कि वृत्त का समीकरण जिसका व्यास जीवा AB है,
`x^(2)+y^(2)-a^(2)=2p(xcosalpha+ysinalpha-p)` है।

Promotional Banner

Similar Questions

Explore conceptually related problems

The angle between the straight lines represented b (x^(2)+y^(2))sin^(2)alpha=(xcosalpha-ysinalpha)^(2) is

The angle between the straight lines represented by (x^(2)+y^(2))sin^(2)alpha=(xcosalpha-ysinalpha)^(2) is

If xcosalpha+ysinalpha=4 is tangent to (x^(2))/(25)+(y^(2))/(9)=1 then the value of alpha is

The angle between the pair of lines represented by (sin^(2)alpha)(x^(2)+y^(2))=(xcosalpha-ysinalpha)^(2) is

The line xcosalpha+ysinalpha=p is a tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 . The point of contact is

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

The equation of circle with centre (1, -2) and radius 4cm is: केंद्र (1, -2) और त्रिज्या 4 सेमी वाले वृत्त का समीकरण है:

Show that the circle on the chord xcosalpha+ ysinalpha-p = 0 of the circle x^2+ y^2 = a^2 as diameter is x^2 + y^2 - a^2 - 2p (xcosalpha + ysinalpha-p) = 0.

Find the inclination to the x-axis of each of the lines : (i)sqrt(3)x-y+2=0 (ii) xcosalpha+ysinalpha=p .

The line xcosalpha +ysinalpha=p will be a tangent to the circle x^2+y^2-2axcosalpha-2aysinalpha=0 if p=