statement I is correct, Statement II is correct, Statement II is not correct explanation for Statement I

Statement I is correct, Statement II is correct

Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statement I

Statement I is correct, Statement II is incorrect

9x2 + y2 - 6xy - 54x - 62y + 241 = 0

x2 + 9y2 + 6xy - 54x - 62y + 241 = 0

9x2 + 9y2 - 6xy - 54x - 62y - 241 = 0

x2 + y2 - 2xy + 27x + 31y - 120 = 0

JEE Questions for Maths Conic Section Quiz 5

The locus of the foot of perpendicular drawn from the centre of the ellipse x² + 3y² = 6 on anytangent to it, is

0%
(x2 - y2)2 = 6x2 + 2y2
0%
(x2 - y2)2 = 6x2 - 2y2
0%
(x2 + y2)2 = 6x2 + 2y2
0%
(x2 + y2)2 = 6x2 - 2y2

the slope of the line touching both parabolas y² = 4x and x² = - 32y is

0%
1/2
0%
3/2
0%
1/8
0%
2/3

A variable chord PQ of the parabola y² = 4ax subtends a right angle at the vertex, then the locus of the points of intersection of the normal at P and Q is

0%
a parbola
0%
a hyperbola
0%
a circle
0%
None of these

The locus of the points of intersection of the tangents as the extremities of the chords of the ellipse x² + 2y² = 6 which touches the ellipse x² + 4y² = 4, is

0%
x2 + y2 = 4
0%
x2 + y2 = 6
0%
x2 + y2 = 9
0%
None of these

The normals at three points P, Q and R of the parabola y² = 4ax meet at (h, k). The centroid of the ∆PQR lies on

0%
x = 0
0%
y = 0
0%
x = -a
0%
y = a

0%
n
0%
n2
0%
n3
0%
None of these

0%
27/4 sq units
0%
9 sq units
0%
27/2 sq units
0%
27 units

If the chords of the hyperbola x² - y² = a² touch the parabola y² = 4ax. Then, the locus of the middle points of the chords is

0%
y2 = (x - a)x3
0%
y2 (x - a) = x3
0%
x2(x - a) = x3
0%
None of these

AB is a chord of the parabola y² = 4ax with vertex A, BC is drawn perpendicular to AB meeting the axis at C. The projection of BC on the axis of the parabola is

0%
a
0%
2a
0%
4a
0%
8a

The slope of the straight line joining the centre of the circle x² + y² - 8x + 2y = 0 and vertex of the parabola y = x² - 4x + 10 is

0%
-5/2
0%
-7/2
0%
-3/2
0%
7/2
0%
None of these

The equation of the common tangent with positive slope to the parabola y² = 8√3x and the hyperbola 4x² - y² = 4 is

0%
y = √6x + √2
0%
y = √6x - √2
0%
y = √3x + √2
0%
y = √3x - √2

The circle x² + y² - 8x = 0 and hyperbola
Maths-Conic Section-17240.png

0%
2x - √5y - 20 = 0
0%
2x - √5y + 4 = 0
0%
3x - 4y + 8 = 0
0%
4x - 3y + 4 = 0

If a normal chord at a point on the parabola y² = 4ax subtends a right angle at the vertex, then t equals

0%
1
0%
√2
0%
2
0%
√3

The slopes of the focal chords of the parabola y² = 32x, which are tangents to the circle x² + y² = 4 are

0%
0%
2)
0%
0%

The two curves x³ - 3xy² + 2 = 0 and 3x²y - y³ - 2 = 0, is

0%
touch each other
0%
cut at an angle π/4
0%
cut at an angle π/3
0%
cut at an angle π/2

Let PQ be a focal chord of the parabola y² = 4ax. The tangents to the parabola at P and Q meet a point lying y = 2x + a, a > 0.
length of chord PQ is

0%
7a
0%
5a
0%
2a
0%
3a

Let PQ be a focal chord of the parabola y² = 4ax. The tangents to the parabola at P and Q meet a point lying y = 2x + a, a > 0.
If chord PQ students an angle θ at the vertex of y² = 4ax, then tan θ is equal to

0%
0%
2)
0%
0%

A circle, 2x² + 2y² = 5 and a parabola, y² = 4√5x.
Statement I An equation of a common tangent to these curve is y = x + √5.
Statement II If the line, y = mx + √5/m (m ≠is the common tangent, the m satisfies m⁴ - 3m² + 2 = 0.

0%
Statement I is correct. Statement II is correct. Statement II is correct explanation for Statement I
0%
Statement I is correct, Statement II is correct. Statement II is not a explanation for Statement II
0%
Statement I is correct. Statement II is correct
0%
Statement I is correct. Statement II is correct

The line 2x + y + k = 0 is a normal to the parabola y² = -8x, if k is equal to

0%
-24
0%
12
0%
24
0%
-12

0%
0%
2)
0%
0%

0%
Statement I is correct, Statement II is correct
0%
Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statement I
0%
statement I is correct, Statement II is correct, Statement II is not correct explanation for Statement I
0%
Statement I is correct, Statement II is incorrect

The values of m, for which the line y = mx + 2 is a tangent to the hyperbola 4x² - 9y² = 36 are

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

If L be a normal to the parabola y² = 4x. If L passes through the point (9, 6), then L is given by

0%
y - x + 3 = 0
0%
y + 3x - 33 = 0
0%
y + x - 15 = 0
0%
y - 2x + 12 = 0

0%
0%
2)
0%
0%

0%
4ab
0%
2)
0%
0%

The equation of the common tangent to the parabola y² = 8x and the rectangular hyperbola xy = - 1 is

0%
x - y + 2 = 0
0%
9x - 3y + 2 = 0
0%
2x - y + 1 = 0
0%
x + 2y - 1 = 0

The equation of the tangents of y² = 12x and making an angle π/3 with X - axis is

0%
± y - √3x + √3 = 0
0%
± y + √3x + 3 = 0
0%
± y - √3x - √3 = 0
0%
± y + √3x + 3 = 0

Let A and B be two distinct on the parabola y² = 4x. If the axis of the parabola touches a circle of radius r having AB as its dinner, then the slope of the line joining A and B can be

0%
- (1/r)
0%
1/r
0%
2/r
0%
- (2/r)

0%
(3,and (0, 2)
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
9x2 + y2 - 6xy - 54x - 62y + 241 = 0
0%
x2 + 9y2 + 6xy - 54x - 62y + 241 = 0
0%
9x2 + 9y2 - 6xy - 54x - 62y - 241 = 0
0%
x2 + y2 - 2xy + 27x + 31y - 120 = 0

If two tangents drawn from a point P to the parabola y² = 4x are at right angles, then the locus of P is

0%
x = 1
0%
2x + 1 = 0
0%
x = -1
0%
2x - 1 = 0

The normal at a point on the ellipse x² + 4y² = 16 meets the X-axis at Q. If M is third mid - point of the line segment PQ, then the locus of M intersects of the given ellipse at a points

0%
0%
2)
0%
0%

If 4x - 3y + k = 0 touches the ellipse 5x² + 9y² = 45, then k is equal to

0%
0%
2)
0%
0%

0%
12 sq units
0%
8 sq units
0%
24 sq units
0%
32 sq units

Equation of tangent to the parabola y² = 16x at P(3,is

0%
4x - 3y + 12 = 0
0%
3y - 4x - 12 = 0
0%
4x - 3y - 24 = 0
0%
3y - x - 24 = 0

The number of values of c such that the line y = 4x + c touches the curve x²/4 + y² = 1 is

0%
1
0%
2
0%
∞
0%
0

The equation of the tangent to the conic x² - y² - 8x + 2y + 11 = 0 at (2,is

0%
x + 2 = 0
0%
2x + 1 = 0
0%
x + y + 1 = 0
0%
x - 2 = 0

The total number of tangents, through the points (3,that can be drawn to the ellipse 3x² + 5y² = 32 and 25x² + 9y² = 450, is

0%
0
0%
2
0%
3
0%
4

If tangents at extremities of a focal chord AB of the parabola y² = 4ax intersect at a point C, then ∠ACB is equal to

0%
π/4
0%
π/3
0%
π/2
0%
π/6

0%
l= a2, m = b2
0%
l= b2, m = a2
0%
l = m = a
0%
l = m = b

The tangent at (1,to the curves x² = y - 6 touches the circles x ² + y² + 16x + 12y + c = 0 at

0%
(6, 7)
0%
(-6, 7)
0%
(6, -7)
0%
(-6, -7)

The number of normals drawn to parabola y² = 4x from the point (1,is

0%
0
0%
1
0%
2
0%
3

The line x + y = 6 is a normal to the parabola y² = 8x at the point

0%
(18, -12)
0%
(4, 2)
0%
(2, 4)
0%
(8, 8)

If the line y = 2x + λ be a tangent to the hyperbola 36x² - 25y² = 3600, then λ is equal to

0%
16
0%
- 16
0%
± 16
0%
None of these

The equation of the tangent parallel to y - x + 5 = 0, drawn to
Maths-Conic Section-17297.png

0%
x - y - 1 = 0
0%
x - y + 2 = 0
0%
x + y - 1 = 0
0%
x + y + 2 = 0

The equation of the line which is tangent to both the circle x² + y² = 5 and the parabola y² = 40x is

0%
2x - y ± 5 = 0
0%
2x - y + 5 = 0
0%
2x - y - 5 = 0
0%
2x + y + 5 = 0

The common tangent of the parabola y² = 4x and x² = - 8y, is

0%
y = x + 2
0%
y = x - 2
0%
y = 2x + 3
0%
None of these

If the normal at (ap², 2ap) on the parabola y² = 4ax, meets the parabola again at (aq², 2aq), then

0%
p2 + pq + 2 = 0
0%
p2 - pq + 2 = 0
0%
q2 + pq + 2 = 0
0%
p2 + pq + 1 = 0

JEE Questions for Maths Conic Section Quiz 5 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Conic Section Quiz 5 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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