Find the general equation of a circle with centre (-3, -4) and radius 3 units.
x²-y²+6x-8y+16=0
x²+y²+6x+8y+16=0
x²+y²+8x+6y+12=0
None
Find the general equation of the circle whose diameter is the line segment joining the points(−4, −2) , and (1,1 )
x²+y²+3x+y-6=0
x²-y²-3x+y+6=0
x²+y²+3x+y+6=0
None
Examine the position of the point ( 2 ,3) with respect to the circlex²+y²-6x-8y+12=0
lies outside the circle
lies inside the circle
lies on the circle
None
Find the equations of the tangent and normal to the circle x²+y²= 25 at P(-3, 4) .
3x +4y = 0
4x -3y = 0
4x +3y = 0
3x -4y = 0
If y = 4x + c is a tangent to the circle x²+y²= 9 , find c
±√17
±3√17
±17√3
3√17
Find the length of Latus rectum of the parabola y²= 4ax
2a
4a
a
None
Identify the type of the conic for the equation 16y²= -4x²+64
Ellipse
Circle
parabola
Hyperbola
Identify the type of the conic for the equation x²-2y= x+3
Ellipse
Circle
parabola
Hyperbola
Identify the type of the conic for the equation x²+y²= -4x-y+4
Ellipse
Circle
parabola
Hyperbola
Identify the type of the conic for the equation 4x²-9y²-16x+18y-29=0
Ellipse
Circle
parabola
Hyperbola
Find the equations of tangent to the parabola x²+6x+4y+5=0 at (1,-3)
x+2y+1=0
2x+y+1=0
x+y+2=0
2x+y=0
The maximum and minimum distances of the Earth from the Sun respectively are 152 × 10⁶ km and 94.5 × 10⁶ km. The Sun is at one focus of the elliptical orbit. Find the distance from the Sun to the other focus.
575×10⁵
57.5×10⁵
575×10⁶
57.5×10⁶
The parabolic communication antenna has a focus at 2m distance from the vertex of the antenna.Find the width of the antenna 3m from the vertex.
3√2
4√6
3√3
2√3
A concrete bridge is designed as a parabolic arch. The road over bridge is 40m long and the maximum height of the arch is 15m . Write the equation of the parabolic arch.
x² = -80y
3x² = -80y
3x² = 80y
3x² = -80y+12
Find the equations of normal to the ellipse x²+4y²=32 when θ =π/4
2x-y-6=0
2x+y+6=0
x+y-6=0
None
Equation of a circle in general form is x²+y²+2gx+2fy+c=0 then radius = ?