1
If parabola y² = qx and 25[(x - 3)² + (y+2)²] = (3x-4y-2)² are equal, ...
Parabola
2
If the segment intercepted by the parabola y = 4ax with the line lx+my ...
Parabola
3
The graph of the curve x² + y²-2xy-8x-8y+32=0 falls wholly in the ...
Parabola
4
A point P(x, y) moves in xy plane such that x = a cos² θ and y = 2a si ...
Parabola
5
Let P be the point (1, 0) and Q a point on the locus y² = 8x. The locu ...
Parabola
6
P(x, y) is a variable point on the parabola y² = 4ax and Q(x+c, y+c) i ...
Parabola
7
AB is a chord of the parabola y² = 4ax with vertex A. BC is drawn perp ...
Parabola
8
A line L passing through the focus of the parabola y² = 4(x-1) interse ...
Parabola
9
If PSQ is the focal chord of the parabola y² = 8x such that SP=6. Then ...
Parabola
10
The circle x² + y² + 2λx = 0, touches the parabola y² = 4x externally. ...
Parabola
11
An equilateral triangle SAB is inscribed in the parabola y^2 = 4ax hav ...
Parabola
12
C is the centre of the circle with centre (0, 1) and radius unity. P i ...
Parabola
13
The length of the chord of the parabola y² = x which is bisected at th ...
Parabola
14
If A1B1 and A2B2' are two focal chords of the parabola y² = 4ax, then ...
Parabola
15
Set of values of a for which the point (a, 1) lies inside the curves x ...
Parabola
16
The curve represented by the equation √px+√qy = 1, where p, q ∈ R, p, ...
Parabola
17
A water jet from a fountain reaches its maximum height of 4 m at a dis ...
Parabola
18
If (a, b) is the midpoint of a chord passing through the vertex of the ...
Parabola
19
A set of parallel chords of the parabola y² = 4ax have their midpoints ...
Parabola
20
If a ≠ 0 and the line 2bx + 3cy + 4d = 0 passes through the points of ...
Parabola
21
Let y = f(x) be a parabola, having its axis parallel to y-axis, which ...
Parabola
22
Let S be the focus of y² = 4x and a point P is moving on the curve suc ...
Parabola
23
Two parabolas have the same focus. If their directrices are the x-axis ...
Parabola
24
If a and C are the lengths of segments of any focal chord of the parab ...
Parabola
25
If P be a point on the parabola y² = 3(2x - 3) and M is the foot of pe ...
Parabola
26
If y = mx + c touches the parabola y² = 4a(x + a), then ...
Parabola
27
The equation of the parabola whose focus is the point (0, 0) and the t ...
Parabola
28
Vertex of the parabola whose parametric equation is x=t²-t+1, y=t²+1+t ...
Parabola
29
The ratio in which the line segment joining the points (4,-6) and (3, ...
Parabola
30
Parabolas y² = 4a(x - c1) and x² = 4a(y - c2), where c₁ and c₂ are var ...
Parabola
31
The locus of a point on the variable parabola y² = 4ax, whose distance ...
Parabola
32
The triangle PQR of area 'A' is inscribed in the parabola y² = 4ax suc ...
Parabola
