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1. the locus of point (l,m). if the line lx+my=1 touches the circle x^2+y^2=a^2 a – x^2+y^2=2a^2 b – 2x^2+2y^2 = a^2 c – a^2(x^2+y^2) = 1 d – a^2(x^2+y^2) = 2 ​2. locus of point of intersection of tangents to the circle x^2+y^2+2x+4y-1 = 0 a – x^2+y^2+2x+4y-19 = 0 b – x^2+y^2-2x-4y-19 = 0 c – x^2+y^2+2x+4y+19 = 0 d – x^2+y^2-2x-4y+19 = 0 3. locus of point of intersection of perpendicular tangents to the circle x^2+y^2 = 10 a – x^2+y^2 = 5 b – x^2+y^2 = 20 c – x^2+y^2 = 10 d – x^2+y^2 = 100

1. the locus of point (l,m). if the line lx+my=1     touches the circle x^2+y^2=a^2
    a – x^2+y^2=2a^2
    b – 2x^2+2y^2 = a^2  
    c – a^2(x^2+y^2) = 1
    d – a^2(x^2+y^2) = 2
​2. locus of point of intersection of tangents       to the circle x^2+y^2+2x+4y-1 = 0
    a – x^2+y^2+2x+4y-19 = 0                           b – x^2+y^2-2x-4y-19 = 0
    c – x^2+y^2+2x+4y+19 = 0
    d – x^2+y^2-2x-4y+19 = 0
3. locus of point of intersection of                     perpendicular tangents to the circle               x^2+y^2 = 10
    a – x^2+y^2 = 5
    b – x^2+y^2 = 20
    c – x^2+y^2 = 10
    d – x^2+y^2 = 100

Grade:9

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