The circle `x^2 +y^2=4x+8y+ 5` intersects the line `3x-4y= m` at two distinct points, if (a)-85 lt m lt-35 (c) 15 lt m lt 65 (b)-35 lt m lt 15 (d) 35 lt m lt 85

3y - 5x lt 15

The circle x^2+""y^2=""4x""+""8y""+""5 intersects the line 3x""""4y""=""m at two distinct points if (1) 35""<""m""<""15 (2) 15""<""m""<""65 (3) 35""<""m""<""85 (4) 85""<""m""<"" 35

The circle x^2 + y^2 - 6x - 10y + p = 0 does not touch or intersect the axes and the point (1, 4) is inside the circle, then (A) 0 lt p lt 29 (B) 25 lt p lt 29 (C) 25 lt p lt 35 (D) none of these

If |x - 2| lt 3 then -1 lt x lt 5 .

The function f(x) = sin^3 x-m sin x is defined on open interval (-pi/2,pi/2) and if assumes only 1 maximum value and only 1 minimum value on this interval. Then, which one of the must be correct? (a) 0lt m lt 3 (b) -3 lt m lt 0 (c) m gt 3 (d) m lt -3

Show that the line 3x - 4y -c = 0 will meet the circle having centre at (2, 4) and the radius 5 in real and distinct points if -35 lt c lt 15 .

Show that the line 3x - 4y -c = 0 will meet the circle having centre at (2, 4) and the radius 5 in real and distinct points if -35 lt c lt 15 .

The function f(x) = sin^(4)x + cos^(4) x increases if a) 0 lt x lt pi//8 b) pi//4 lt x lt 3 pi//8 c) 3 pi//8 lt x lt 5pi//8 d) 5 pi//8 lt x lt 3 pi//4