Maths-
General
Easy

Question

The point of intersection of the tangents at the ends of the latus rectum of the parabola y2 = 4x is .

  1. (–1, 0)    
  2. (1, 0)    
  3. (0, 1)    
  4. None of these    

The correct answer is: (–1, 0)

Related Questions to study

General
maths-

If a ≠ 0 and the line 2bx + 3cy + 4d = 0 passes through the points of intersection of the parabolas y to the power of 2 end exponent = 4ax and x to the power of 2 end exponent = 4ay, then-

If a ≠ 0 and the line 2bx + 3cy + 4d = 0 passes through the points of intersection of the parabolas y to the power of 2 end exponent = 4ax and x to the power of 2 end exponent = 4ay, then-

maths-General
General
maths-

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-

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-

maths-General
General
physics-

A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field stack B with rightwards arrow on top directed into the paper. AO = l and OC = 3l. Then

A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field stack B with rightwards arrow on top directed into the paper. AO = l and OC = 3l. Then

physics-General
parallel
General
physics-

A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The vertical rails are connected to each other with a resistance R between a and b. A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of

A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The vertical rails are connected to each other with a resistance R between a and b. A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of

physics-General
General
physics-

A rectangular loop with a sliding connector of length l = 1.0 m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of connector is r = 2capital omega. Two resistance of 6capital omega and 3capital omega are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v = 2m/s is

A rectangular loop with a sliding connector of length l = 1.0 m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of connector is r = 2capital omega. Two resistance of 6capital omega and 3capital omega are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v = 2m/s is

physics-General
General
physics-

Plane figures made of thin wires of resistance R = 50 milli ohm/metre are located in a uniform magnetic field perpendicular into the plane of the figures and which decrease at the rate dB/dt = 0.1 m T/s. Then currents in the inner and outer boundary are. (The inner radius a = 10 cm and outer radius b = 20 cm)

Plane figures made of thin wires of resistance R = 50 milli ohm/metre are located in a uniform magnetic field perpendicular into the plane of the figures and which decrease at the rate dB/dt = 0.1 m T/s. Then currents in the inner and outer boundary are. (The inner radius a = 10 cm and outer radius b = 20 cm)

physics-General
parallel
General
physics-

A highly conducting ring of radius R is perpendicular to and concentric with the axis of a long solenoid as shown in fig. The ring has a narrow gap of width d in its circumference. The solenoid has cross sectional area A and a uniform internal field of magnitude B0. Now beginning at t = 0, the solenoid current is steadily increased to so that the field magnitude at any time t is given by B(t) = B0 + at where alpha greater than 0. Assuming that no charge can flow across the gap, the end of ring which has excess of positive charge and the magnitude of induced e.m.f. in the ring are respectively

A highly conducting ring of radius R is perpendicular to and concentric with the axis of a long solenoid as shown in fig. The ring has a narrow gap of width d in its circumference. The solenoid has cross sectional area A and a uniform internal field of magnitude B0. Now beginning at t = 0, the solenoid current is steadily increased to so that the field magnitude at any time t is given by B(t) = B0 + at where alpha greater than 0. Assuming that no charge can flow across the gap, the end of ring which has excess of positive charge and the magnitude of induced e.m.f. in the ring are respectively

physics-General
General
physics-

The north and south poles of two identical magnets approach a coil, containing a condenser, with equal speeds from opposite sides. Then

The north and south poles of two identical magnets approach a coil, containing a condenser, with equal speeds from opposite sides. Then

physics-General
General
physics-

A conducting ring is placed around the core of an electromagnet as shown in fig. When key K is pressed, the ring

A conducting ring is placed around the core of an electromagnet as shown in fig. When key K is pressed, the ring

physics-General
parallel
General
physics-

Shown in the figure is a circular loop of radius r and resistance R. A variable magnetic field of induction B equals B subscript 0 end subscript e to the power of negative t end exponent is established inside the coil. If the key (K) is closed, the electrical power developed right after closing the switch is equal to

Shown in the figure is a circular loop of radius r and resistance R. A variable magnetic field of induction B equals B subscript 0 end subscript e to the power of negative t end exponent is established inside the coil. If the key (K) is closed, the electrical power developed right after closing the switch is equal to

physics-General
General
physics-

The resistance in the following circuit is increased at a particular instant. At this instant the value of resistance is 10W. The current in the circuit will be now

The resistance in the following circuit is increased at a particular instant. At this instant the value of resistance is 10W. The current in the circuit will be now

physics-General
General
physics-

A conducting rod PQ of length L = 1.0 m is moving with a uniform speed v = 2 m/s in a uniform magnetic field B equals 4.0 T directed into the paper. A capacitor of capacity C = 10 mF is connected as shown in figure. Then

A conducting rod PQ of length L = 1.0 m is moving with a uniform speed v = 2 m/s in a uniform magnetic field B equals 4.0 T directed into the paper. A capacitor of capacity C = 10 mF is connected as shown in figure. Then

physics-General
parallel
General
Maths-

Let f(x) = open parentheses fraction numerator open vertical bar sin invisible function application x rightwards arrow over short leftwards arrow close vertical bar over denominator cos invisible function application x end fraction plus fraction numerator sin invisible function application x over denominator open vertical bar cos invisible function application x close vertical bar end fraction close parentheses
Assertion (A): Fundamental period of f(x) is 2straight pi
Reason (R) : period of sin x and cos x is 2straight pi

Let f(x) = open parentheses fraction numerator open vertical bar sin invisible function application x rightwards arrow over short leftwards arrow close vertical bar over denominator cos invisible function application x end fraction plus fraction numerator sin invisible function application x over denominator open vertical bar cos invisible function application x close vertical bar end fraction close parentheses
Assertion (A): Fundamental period of f(x) is 2straight pi
Reason (R) : period of sin x and cos x is 2straight pi

Maths-General
General
maths-

If (x1 ,y1) and (x2, y2) and ends of a focal chord of the parabola y to the power of 2 end exponent = 4ax, then square of G.M. of x1 and x2 is-

If (x1 ,y1) and (x2, y2) and ends of a focal chord of the parabola y to the power of 2 end exponent = 4ax, then square of G.M. of x1 and x2 is-

maths-General
General
physics-

A conductor ABOCD moves along its bisector with a velocity of 1 m/s through a perpendicular magnetic field of 1 wb/m2, as shown in fig. If all the four sides are of 1m length each, then the induced emf between points A and D is

A conductor ABOCD moves along its bisector with a velocity of 1 m/s through a perpendicular magnetic field of 1 wb/m2, as shown in fig. If all the four sides are of 1m length each, then the induced emf between points A and D is

physics-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.