How many tangents can a circle have?

How many tangents to the circle x^2 + y^2 = 3 are normal tothe ellipse x^2/9+y^2/4=1?

How many common tangents can be drawn to the following circles x^(2)+y^(2)=6x and x^(2)+y^(2)+6x+2y+1=0 ?

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

How many real tangents can be drawn from the point (4, 3) to the hyperbola (x^2)/(16)-(y^2)/9=1? Find the equation of these tangents and the angle between them.

How many triangles can be drawn having its angles as 45^(@), 64^(@) and 72^(@) ? Give reason for your answer.

How many triangles can be drawn having its angles as 53^(@) , 64^(@) and 63^(@) ? Give reason for your answer.

How many radii does a circle have?

Draw the circles of different radii. How many points, these circles can have in common ? What is the maximum number of common points ?

Fill in the blanks: The common point of a tangent and the circle is called...... A circle may have ..... parallel tangents. A tangent to a circle intersects it in ..... point(s). A line intersecting a circle in two points is called a ........ (v) The angle between tangent at a point on a circle and the radius through the point is .........

How many tangents are possible from (1, 1) to the curve y-1=x^3 . Also find these tangents