Maths-
General
Easy

Question

Consider, L subscript 1 end subscript colon 2 x plus 3 y plus p minus 3 equals 0 semicolon L subscript 2 end subscript colon 2 x plus 3 y plus p plus 3 equals 0 comma where p is a real number, and C colon x to the power of 2 end exponent plus y to the power of 2 end exponent plus 6 x minus 10 y plus 30 equals 0.
Statement‐l:: If line L subscript 1 end subscript is a chord of circle, then line L subscript 2 end subscript  is not always a diameter of circle C.
Statement‐II :: If line L subscript 1 end subscript is a diameter ofcircle C, then line L subscript 2 end subscript is not a chord ofcircle C.

  1. Statement‐l is True, Statement‐2 is True; statement‐2 is a correct explanation for statement‐l    
  2. Statement‐l is True, Statement‐2 is True; statement‐2 is NOT a correct explanation for statement‐l    
  3. Statement‐l is True, Statement‐2 is False    
  4. Statement‐l is False, Statement‐2 is True    

The correct answer is: Statement‐l is True, Statement‐2 is False


    In the question there are two statements to be inferred
    By observing two statements carefully we can say that
    Statement 1 is true and Statement 2 is false

    Hence Choice 3 is correct

    Related Questions to study

    General
    Maths-

    The equation of the circle passing through the points (1, 0) and (0,1) and having the smallest radius is:

    Therefore the correct option is Choice 3

    The equation of the circle passing through the points (1, 0) and (0,1) and having the smallest radius is:

    Maths-General

    Therefore the correct option is Choice 3

    General
    Maths-

    If a circle passes through the point (a, b) and cuts the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals p to the power of 2 end exponent orthogonally, then the equation of the locus of its centre is‐

    Hence locus of the given condition is optionD

    If a circle passes through the point (a, b) and cuts the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals p to the power of 2 end exponent orthogonally, then the equation of the locus of its centre is‐

    Maths-General

    Hence locus of the given condition is optionD

    General
    Maths-

    The square of the length of tangent from (3, -4) on the circle x to the power of 2 end exponent plus y to the power of 2 end exponent minus 4 x minus 6 y plus 3 equals 0

    Hence option C is correct

    The square of the length of tangent from (3, -4) on the circle x to the power of 2 end exponent plus y to the power of 2 end exponent minus 4 x minus 6 y plus 3 equals 0

    Maths-General

    Hence option C is correct

    parallel
    General
    physics-

    A hollow sphere of mass M and radius r is immersed in a tank of water (density rw). The sphere would float if it were set free. The sphere is tied to the bottom of the tank by two wires which makes angle 45° with the horizontal as shown in the figure. The tension T1 in the wire is :

    A hollow sphere of mass M and radius r is immersed in a tank of water (density rw). The sphere would float if it were set free. The sphere is tied to the bottom of the tank by two wires which makes angle 45° with the horizontal as shown in the figure. The tension T1 in the wire is :

    physics-General
    General
    physics-

    A small wooden ball of density r is immersed in water of density sigma to depth h and then released. The height H above the surface of water up to which the ball will jump out of water is

    A small wooden ball of density r is immersed in water of density sigma to depth h and then released. The height H above the surface of water up to which the ball will jump out of water is

    physics-General
    General
    physics-

    A dumbbell is placed in water of density r. It is observed that by attaching a mass m to the rod, the dumbbell floats with the rod horizontal on the surface of water and each sphere exactly half submerged as shown in the figure. The volume of the mass m is negligible. The value of length l is

    A dumbbell is placed in water of density r. It is observed that by attaching a mass m to the rod, the dumbbell floats with the rod horizontal on the surface of water and each sphere exactly half submerged as shown in the figure. The volume of the mass m is negligible. The value of length l is

    physics-General
    parallel
    General
    physics-

    A slender homogeneous rod of length 2L floats partly immersed in water, being supported by a string fastened to one of its ends, as shown. The specific gravity of the rod is 0.75. The length of rod that extends out of water is :

    A slender homogeneous rod of length 2L floats partly immersed in water, being supported by a string fastened to one of its ends, as shown. The specific gravity of the rod is 0.75. The length of rod that extends out of water is :

    physics-General
    General
    physics-

    Two cubes of size 1.0 m sides, one of relative density 0.60 and another of relative density = 1.15 are connected by weightless wire and placed in a large tank of water. Under equilibrium the lighter cube will project above the water surface to a height of

    Two cubes of size 1.0 m sides, one of relative density 0.60 and another of relative density = 1.15 are connected by weightless wire and placed in a large tank of water. Under equilibrium the lighter cube will project above the water surface to a height of

    physics-General
    General
    physics-

    An open-ended U-tube of uniform cross-sectional area contains water (density 1.0 gram/centimeter3) standing initially 20 centimeters from the bottom in each arm. An immiscible liquid of density 4.0 grams/ centimeter3 is added to one arm until a layer 5 centimeters high forms, as shown in the figure above. What is the ratio h2/h1 of the heights of the liquid in the two arms?

    An open-ended U-tube of uniform cross-sectional area contains water (density 1.0 gram/centimeter3) standing initially 20 centimeters from the bottom in each arm. An immiscible liquid of density 4.0 grams/ centimeter3 is added to one arm until a layer 5 centimeters high forms, as shown in the figure above. What is the ratio h2/h1 of the heights of the liquid in the two arms?

    physics-General
    parallel
    General
    physics-

    A light semi cylindrical gate of radius R is piovted at its mid point O, of the diameter as shown in the figure holding liquid of density r. The force F required to prevent the rotation of the gate is equal to

    A light semi cylindrical gate of radius R is piovted at its mid point O, of the diameter as shown in the figure holding liquid of density r. The force F required to prevent the rotation of the gate is equal to

    physics-General
    General
    physics-

    In the figure shown, the heavy cylinder (radius R) resting on a smooth surface separates two liquids of densities 2r and 3r. The height ‘h’ for the equilibrium of cylinder must be

    In the figure shown, the heavy cylinder (radius R) resting on a smooth surface separates two liquids of densities 2r and 3r. The height ‘h’ for the equilibrium of cylinder must be

    physics-General
    General
    physics-

    A liquid of mass 1 kg is filled in a flask as shown in figure. The force exerted by the flask on the liquid is (g = 10 m/s2)[Neglect atmospheric pressure]:

    A liquid of mass 1 kg is filled in a flask as shown in figure. The force exerted by the flask on the liquid is (g = 10 m/s2)[Neglect atmospheric pressure]:

    physics-General
    parallel
    General
    physics-

    An open cubical tank was initially fully filled with water. When the tank was accelerated on a horizontal plane along one of its side it was found that one third of volume of water spilled out. The acceleration was

    An open cubical tank was initially fully filled with water. When the tank was accelerated on a horizontal plane along one of its side it was found that one third of volume of water spilled out. The acceleration was

    physics-General
    General
    physics-

    Figure shows a three arm tube in which a liquid is filled upto levels of height l. It is now rotated at an angular frequency w about an axis passing through arm B. The angular frequency w at which level of liquid in arm B becomes zero.

    Figure shows a three arm tube in which a liquid is filled upto levels of height l. It is now rotated at an angular frequency w about an axis passing through arm B. The angular frequency w at which level of liquid in arm B becomes zero.

    physics-General
    General
    physics-

    A fluid container is containing a liquid of density r is accelerating upward with acceleration a along the inclined place of inclination a as shown. Then the angle of inclination q of free surface is :

    A fluid container is containing a liquid of density r is accelerating upward with acceleration a along the inclined place of inclination a as shown. Then the angle of inclination q of free surface 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.