The number of real tangents passes through `(3, 5)` to the ellipse `3x^2 + 5y^2 = 32`, is/are (A) 4 (B) 2 (C) 1 (D) 0

The number of real tangents that can be drawn to the ellipse 3x^(2)+5y^(2)=32 passing through (3,5) is

The number of real tangents that can be drawn to the ellipse 3x^(2)+5y^(2)=32 passing through (3,5) is

The number of tangents to (x^(2))/(9)+(y^(2))/(4)=1 through (3,2) is

How many real tangents can be drawn to the ellipse 5x^(2)+9y^(2)=32 from the point (2,3)?

If the tangents drawn through the point (1, 2 sqrt(3) to the ellipse x^2/9 + y^2/b^2 = 1 are at right angles, then the value of b is (A) 1 (B) -1 (C) 2 (D) 4

The radius of the circle passing through the foci of the ellipse (x^2)/(16)+(y^2)/9 and having its center (0, 3) is 4 (b) 3 (c) sqrt(12) (d) 7/2

The number of real solutions of the equation x^(2)+5|x|+4=0 are A) 4 B) 2 C) 1 D) 0

The number of solutions of sqrt(3x^(2)+x+5)=x-3 is (A) 0 (B) 1 (C) 2 (D) 4

The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and the circle x^2+y^2=3 are +-1 (b) +-sqrt(2) (c) +-sqrt(3) (d) none of these

The equation of the circle passing through (1/2, -1) and having pair of straight lines x^2 - y^2 + 3x + y + 2 = 0 as its two diameters is : (A) 4x^2 + 4y^2 + 12x - 4y - 15 = 0 (B) 4x^2 + 4y^2 + 15x + 4y - 12 = 0 (C) 4x^2 + 4y^2 - 4x + 8y + 5 = 0 (D) none of these