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

The number of real solutions of the equation e^(x)+(a^(2)+4a+5)x^(2)+6=0 is (A) 1 (B) 2 (C) 3 (D) 0

The number of real tangents that can be drawn to the ellipses 3x^(2)+5y^(2)=32 and 25x^(2)+9y^(2)=450, passes through (3,5), is

The number of real solution of 2sin(e^x)=5^x+5^-x in [0,1] is (A) 0 (B) 1 (C) 2 (D) 4

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 roots of equation x^8-x^5+x^2-x+1=0 is (A) 2 (B) 4 (C) 6 (D) 0

The number of real solutions of the equation |x|^(2)-3|x|+2=0 is (1982,1M)4(b)1(c)3 (d) 2

The length of the tangent of the curve y=x^(2)+2 at (1 3) is (A) sqrt(5) (B) 3sqrt(5) (C) 3/2 (D) (3sqrt(5))/(2)

[ The number of real solutions of x^(2)-4|x|-2=0 is [ (a) 1, (b) 2 (c) 3, (d) 4]]