Maths-
General
Easy
Question
Statement (1): Two perpendicular tangents of parabola y2 = 16x always meet on x + 4 = 0.
Statement (2): Two perpendicular tangents of a parabola, always meets on axis.
- Both S1 & S2 are correct & S2 is correct explanation of S1
- Both S1 & S2 are correct but S2 is not correct explanation of S1
- S1 is correct S2 is wrong
- S1 is wrong S2 is correct
The correct answer is: Both S1 & S2 are correct but S2 is not correct explanation of S1
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Statement (1): The curve 9y2 –16x –12y –57 = 0 is symmetric about line 3y = 2.
Statement (2): A parabola is symmetric about it’s axis.
Statement (1): The curve 9y2 –16x –12y –57 = 0 is symmetric about line 3y = 2.
Statement (2): A parabola is symmetric about it’s axis.
maths-General
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y2 = 4x is the equation of a parabola.
Assertion : Through ( + 1), 3 normals can be drawn to the parabola, if < 2
Reason : The point ( + 1) lies outside the parabola for all –1.
y2 = 4x is the equation of a parabola.
Assertion : Through ( + 1), 3 normals can be drawn to the parabola, if < 2
Reason : The point ( + 1) lies outside the parabola for all –1.
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Assertion (A) : In given fig., Length of ST = 8
Reason (R) : The tangents at point P and Q on parabola meet in T, then ST2 = SP. SQ.
Assertion (A) : In given fig., Length of ST = 8
Reason (R) : The tangents at point P and Q on parabola meet in T, then ST2 = SP. SQ.
maths-General
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The variation of induced emf (E) with time (t) in a coil if a short bar magnet is moved along its axis with a constant velocity is best represented as
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The graph Shows the variation in magnetic flux with time through a coil. Which of the statements given below is not correct
The graph Shows the variation in magnetic flux with time through a coil. Which of the statements given below is not correct
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A simple pendulum with bob of mass m and conducting wire of length L swings under gravity through an angle . The earth’s magnetic field component in the direction perpendicular to swing is B. Maximum potential difference induced across the pendulum is
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The network shown in the figure is a part of a complete circuit. If at a certain instant the current i is 5 A and is decreasing at the rate of then is
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physics-General
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The figure shows three circuits with identical batteries, inductors, and resistors. Rank the circuits according to the current through the battery (i) just after the switch is closed and (ii) a long time later, greatest first
The figure shows three circuits with identical batteries, inductors, and resistors. Rank the circuits according to the current through the battery (i) just after the switch is closed and (ii) a long time later, greatest first
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What is the mutual inductance of a two-loop system as shown with centre separation l
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Assertion (A) : The length of latus rectum in fig is 24/5.
Reason (R) : If l 1 and l2are length of segments of a focal chord of a parabola, then its latus rectum is .
Assertion (A) : The length of latus rectum in fig is 24/5.
Reason (R) : If l 1 and l2are length of segments of a focal chord of a parabola, then its latus rectum is .
Maths-General
maths-
Assertion: Through ( + 1) there can not the more than one normal to the parabola y2 = 4x if + < 2.
Reason: The point ( + 1) lie out side the parabola for all 1.
Assertion: Through ( + 1) there can not the more than one normal to the parabola y2 = 4x if + < 2.
Reason: The point ( + 1) lie out side the parabola for all 1.
maths-General
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The point of intersection of the tangents at the ends of the latus rectum of the parabola y2 = 4x is .
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If a ≠ 0 and the line 2bx + 3cy + 4d = 0 passes through the points of intersection of the parabolas = 4ax and = 4ay, then-
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If M is the foot of perpendicular from a point P of a parabola y2 = 4ax to its directrix and SPM is an equilateral triangle, where S is the focus. Then SP equal to-
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A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field directed into the paper. AO = l and OC = 3l. Then
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