A parabola is drawn through two given points `A(1,0)` and `B(-1,0)` such that its directrix always touches the circle `x² + y^2 = 4.` Then, The locus

A parabola is drawn through two given points `A(1,0)` and `B(-1,0)` such that its directrix always touches the circle `x² + y^2 = 4.` Then, The locus
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A parabola is drawn through two given points `A(1,0)` and `B(-1,0)` such that its directrix always touches the circle ... `(x^(2))/(5)+(y^(2))/(4)=1`
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The locus of points of intersection of the tangents to `x^(2)+y^(2)=a^(2)` at the extremeties of a chord of circle `x^(2)+y^(2)=a^(2)` which touches t

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Which of the following is the locus of a point that moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one (A) Ellipse (B) Hyperbola (C) Parabola (D) Circle

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Last Answer : (B) Hyperbola 

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Description : The locus of the middle points of the focal chords of the parabola, `y^2=4x` is:

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Last Answer : (C) Ellipse 

The parabola is defined mathematically as a curve generated by a point that moves suchthat its distance from the focus is always__________the distance to the directrix a.larger than b.smaller than c.equal to d.none of the above

Description : The parabola is defined mathematically as a curve generated by a point that moves suchthat its distance from the focus is always__________the distance to the directrix a.larger than b.smaller than c.equal to d.none of the above

Last Answer : c.equal to

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Description : Briefly explain the focus and directrix of a parabola?

Last Answer : the set of points equidistant from a fixed point

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Description : What is the extreme point of a parabola that is located halfway between the focus and directrix called?

Last Answer : It is the vertex of the parabola.

An upgrade g1% is followed by a downgrade g2%. The equation of the parabolic curve of length L to be introduced, is given by (A) y = g [(g - g L] x² (B) y = [(g g L] x² (C) y = [(g - g L] x² (D) y = [(g g L] x²

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Last Answer : Answer: Option B

A point moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one. The locus of the path traced by the point will be a a.Cycloid b.Hyperbola c.Circle d.Involute e.Ellipsc

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Last Answer : d. Involute

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Last Answer : Here, △XZM and △XZL are on the same base (XZ) and lie between the same parallels (XZ || LM). ∴ ar(△XZL) = ar( △XZM) Adding ar(△XZY) on both sides , we have ar(△XZL) + ar(△XZY) = ar(△XZM) + ar(△XZY) ⇒ ar(△LZY) = ar(quad.MZYX)

X and y are points on the side LN of the triangle LMN , such that LX = XY = YN . Through X, a line is drawn parallel to LM to meet MN at Z. -Maths 9th

Description : X and y are points on the side LN of the triangle LMN , such that LX = XY = YN . Through X, a line is drawn parallel to LM to meet MN at Z. -Maths 9th

Last Answer : Here, △XZM and △XZL are on the same base (XZ) and lie between the same parallels (XZ || LM). ∴ ar(△XZL) = ar( △XZM) Adding ar(△XZY) on both sides , we have ar(△XZL) + ar(△XZY) = ar(△XZM) + ar(△XZY) ⇒ ar(△LZY) = ar(quad.MZYX)

If `16l^2+9m^2=24lm+6l+8m+1` and the line `mx+ly=1` is tangent to circle `S_1=0` then the equation of circle `S_2=0` which touches `S_1=0` at `(0,0)`

Description : If `16l^2+9m^2=24lm+6l+8m+1` and the line `mx+ly=1` is tangent to circle `S_1=0` then the equation of circle `S_2=0` which touches `S_1=0` at `(0,0)`

Last Answer : If `16l^2+9m^2=24lm+6l+8m+1` and the line `mx+ly=1` is tangent to circle `S_1=0` then the equation of ... `3x^(2)+3y^(2)-8x-6y=0` D. none of theese

A line through the origin intersects the parabola `5y=2x^(2)-9x+10` at two points whose x-coordinates add up to 17. Then the slope of the line is ____

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Assuming constant gravity and no air resistance, the path of a cannonball fired from a cannon is: w) a semi-circle x) an ellipse y) a parabola z) a hyperbola

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What is the point of contact when the tangent line y equals x plus c touches the circle x squared plus y squared equals 4?

Description : What is the point of contact when the tangent line y equals x plus c touches the circle x squared plus y squared equals 4?

Last Answer : The line meets the circle when:y = x + c→ x² + y² = 4→ x² + (x + c)² - 4 = 0→ x² + x² +2cx + c² - 4 = 0→ 2x² + 2cx + (c² - 4) = 0If the line is a tangent to the circle, this has a repeatedroot. This occurs ... 2 = 0→ (x + √2)² = 0→ x = -√2→ y = x + 2√2= -√2 + 2√2= √2→ point of contact is (-√2, √2)

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Last Answer : (3) A parabola Explanation: In the reference frame of the platform the ball has initial horizontal velocity equal to the velocity of the train. The vertical direction is the same observed on the train because both observers agree that gravity is acting on the ball causing an acceleration g.

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If there is no impervious boundary at the bottom of a hydraulic structure, stream lines tend to follow: (A) A straight line (B) A parabola (C) A semi-ellipse (D) A semi-circle

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Last Answer : (C) A semi-ellipse

An ideal horizontal transition curve is a (a) Parabola (b) Circle (c) Clothoid spiral (d) Hyperbola

Description : An ideal horizontal transition curve is a (a) Parabola (b) Circle (c) Clothoid spiral (d) Hyperbola

Last Answer : (c) Clothoid spiral

A man in a train moving with a constant velocity drops a ball on the platform. The path of the ball as seen by an observer standing on the platform is (1) A straight line (2) A circle (3) A parabola (4) None of these

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Last Answer : circle of radius a touches both axis in 1st quadrant so its centre will be (a,a). ∴ Required equation ⇒(x−a)2+(y−a)2=a2 ⇒x2+a2−2ax+y2+a2−2ay=a2 ⇒x2+y2−2ax−2ay+2a2−a2=0 ⇒x2−y2−2ax−2ay+a2=0.

Find the equation of the circle which touches the both axes in first quadrant and whose radius is a. -Maths 9th

Description : Find the equation of the circle which touches the both axes in first quadrant and whose radius is a. -Maths 9th

Last Answer : Given that the circle of radius ‘a’ touches both axis. So, its centre is (a, a) So, the equation of required circles is : (x-a)2 + (y-a)2 = a2 ⇒ x2 - 2ax + a2+y2 - 2ay + a2 = a2 ⇒ x2 + y2 - 2ax - 2ay + a2 = 0

What is the length of a tangent line from the point 7 -2 to a point when it touches the circle x2 plus y2 -10 equals 49?

Description : What is the length of a tangent line from the point 7 -2 to a point when it touches the circle x2 plus y2 -10 equals 49?

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What is the straight line which touches the circumference in a circle?

Description : What is the straight line which touches the circumference in a circle?

Last Answer : It is the tangent of the circle

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Description : One day, a King asked his advisers, 'What should I do if someone touches my mustache ( mustaches are a sign of power)?' The first adviser said, 'He should get his hair cut off and be hung ... sweets.' This shocked the advisers and the King. Why would the third adviser suggest such and idea? -Riddles

Last Answer : Since mustaches are a sign of power, the only ones daring enough to touch someone's mustache, especially the King's, would be a child.

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Description : Pick up the correct statement from the following: (A) The surface defined by the locus of points having same phase, is called a wave front (B) The wave whose surface of constant phase are parallel planes, ... waves is important and not the absolute phase of a point on the wave (D) All of these

Last Answer : Answer: Option D

I have a maths question i dont get please help me!"Describe fully the graph which has the equation x² + y² = 16."?

Description : I have a maths question i dont get please help me!"Describe fully the graph which has the equation x² + y² = 16."?

Last Answer : It's a circle. The equation of a circle is x^2+y^2=r^2. So the equation you've given is a circle with a radius of 4 and, since there are no modifications to the x or y values, the center of the circle is located at (0,0).

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Description : What is the remainder of (x² + 4x + 5) (x + 3)?

Last Answer : x^3 + 7x^2 + 17x +15

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Description : One of the Lehmann's rules of plane tabling, is  (A) Location of the instrument station is always distant from each of the three rays from the  known points in proportion to their distances  ( ... to the most distant point as the inter-section of the other two rays  (D) None of these 

Last Answer : (A) Location of the instrument station is always distant from each of the three rays from the  known points in proportion to their distances 

The figure shows the front view of a convex lens, which originally had only one edge. Five holes of different shapes, namely triangle, square, pentagon, hexagon and circle, were drilled through it at points P, Q, R, S and T in such a way that the holes were parallel to each other, perpendicular to the edge and all the holes were still within the lens edge. What is the total number of edges in the lens after the holes were drilled?

Description : The figure shows the front view of a convex lens, which originally had only one edge. Five holes of different shapes, namely triangle, square, pentagon, hexagon and circle, were drilled through it at points P ... . What is the total number of edges in the lens after the holes were drilled? 

Last Answer : 57

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Last Answer : (C) Drawn normal to the velocity vector at every point

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Last Answer : (A) Fixed in space in steady flow

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Description : Prove that the curve `y^2=4x and x^2 +y^2 - 6x +1=0` touches each other at thepoint `(1, 2),` find the equation of the common tangents.

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There are three commonly detectable points of zero polarization of diffuse sky radiation, neutral points, lying along the vertical circle through the sun. Which of the following is NOT one of these points? Is it the: w) Arago Point x) Babinet Point y) Brewster Point z) Longfellow Point

Description : There are three commonly detectable points of zero polarization of diffuse sky radiation, neutral points, lying along the vertical circle through the sun. Which of the following is NOT one of these points? Is it the: w) Arago Point x) Babinet Point y) Brewster Point z) Longfellow Point

Last Answer : ANSWER: Z -- LONGFELLOW POINT

ABCD is a parallelogram. A circle through A, B is so drawn that it intersects AD at P and BC at Q. -Maths 9th

Description : ABCD is a parallelogram. A circle through A, B is so drawn that it intersects AD at P and BC at Q. -Maths 9th

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ABCD is a parallelogram. A circle through A, B is so drawn that it intersects AD at P and BC at Q. -Maths 9th

Description : ABCD is a parallelogram. A circle through A, B is so drawn that it intersects AD at P and BC at Q. -Maths 9th

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The longest circle which can be drawn on the earth’s surface passes through where?

Description : The longest circle which can be drawn on the earth’s surface passes through where?

Last Answer : Equator

The coding sequences in lac operon include (A) i gene (B) i gene, operator locus and promoter (C) z, y and a genes (D) i, z, y and a genes

Description : The coding sequences in lac operon include (A) i gene (B) i gene, operator locus and promoter (C) z, y and a genes (D) i, z, y and a genes

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Description : To commence structural gene transcription the region which should be free on lac operation is (A) Promoter site (B) Operator locus (C) Y gene (D) A gene

Last Answer : Answer : B

ABCD is a parallelogram with diagonal AC If a line XZ is drawn such that XZ ∥ AB, then BX/XC = ? (a) (AY/AC) (b) DZ/AZ (c) AZ/ZD (d) AC/AY Answer: (c) AZ/ZD 13. In the given figure, value of x (in cm) is (a) 5cm (b) 3.6 cm (c) 3.2 cm (d) 10 cm

Description : ABCD is a parallelogram with diagonal AC If a line XZ is drawn such that XZ ∥ AB, then BX/XC = ? (a) (AY/AC) (b) DZ/AZ (c) AZ/ZD (d) AC/AY Answer: (c) AZ/ZD 13. In the given figure, value of x (in cm) is (a) 5cm (b) 3.6 cm (c) 3.2 cm (d) 10 cm

Last Answer : (a) 5cm

26. The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve

Description : 26. The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve

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(i) Find the co-ordinates of the points on the curve xy = 16 at which the normal drawn meet at origin. (ii) Find the points on the curve`4x^(2)+9 y^(2

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We are three brothers, running behind each other. Always running round our mother: one after the other, yet no matter how fast we run, we never touches each other. What are we? -Riddles

Description : We are three brothers, running behind each other. Always running round our mother: one after the other, yet no matter how fast we run, we never touches each other. What are we? -Riddles

Last Answer : Fan blades.