Maths-
General
Easy

Question

If P(theta), Q open parentheses theta plus fraction numerator pi over denominator 2 end fraction close parentheses are points on ellipse and alpha is angle between normals at P and Q then -

  1. 2 square root of 1 – e to the power of 2 end exponent end root = text e  end text s i n to the power of 2 end exponent invisible function application 2 theta t a n invisible function application alpha    
  2. 2 square root of 1 – e to the power of 2 end exponent end root = text  e  end text s i n to the power of 2 end exponent invisible function application theta times t a n invisible function application 2 alpha    
  3. square root of 1 – e to the power of 2 end exponent end root= 2 e to the power of 2 end exponent s i n to the power of 2 end exponent invisible function application 2 theta times t a n invisible function application alpha    
  4. 2 square root of 1 – e to the power of 2 end exponent end root = e to the power of 2 end exponent s i n to the power of 2 end exponent invisible function application 2 theta times t a n invisible function application alpha    

The correct answer is: 2 square root of 1 – e to the power of 2 end exponent end root = e to the power of 2 end exponent s i n to the power of 2 end exponent invisible function application 2 theta times t a n invisible function application alpha

Related Questions to study

General
physics-

The Maxwell's four equations are written as:
i) not stretchy contour integral stack E with rightwards arrow on top. stack d s with rightwards arrow on top equals fraction numerator q subscript 0 end subscript over denominator epsilon subscript 0 end subscript end fraction
ii) not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top equals 0
iii) not stretchy contour integral stack E with rightwards arrow on top. stack d l with rightwards arrow on top equals fraction numerator d over denominator d t end fraction not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top
iv) not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top equals mu subscript 0 end subscript epsilon subscript 0 end subscript fraction numerator d over denominator d t end fraction not stretchy contour integral stack E with rightwards arrow on top. stack d s with rightwards arrow on top
The equations which have sources of stack E with rightwards arrow on top and stack B with rightwards arrow on top

The Maxwell's four equations are written as:
i) not stretchy contour integral stack E with rightwards arrow on top. stack d s with rightwards arrow on top equals fraction numerator q subscript 0 end subscript over denominator epsilon subscript 0 end subscript end fraction
ii) not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top equals 0
iii) not stretchy contour integral stack E with rightwards arrow on top. stack d l with rightwards arrow on top equals fraction numerator d over denominator d t end fraction not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top
iv) not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top equals mu subscript 0 end subscript epsilon subscript 0 end subscript fraction numerator d over denominator d t end fraction not stretchy contour integral stack E with rightwards arrow on top. stack d s with rightwards arrow on top
The equations which have sources of stack E with rightwards arrow on top and stack B with rightwards arrow on top

physics-General
General
Maths-

The line x cos alpha + y sin alpha = p touches the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, if :

The line x cos alpha + y sin alpha = p touches the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, if :

Maths-General
General
maths-

If alpha and beta are the eccentric angles of extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is -

If alpha and beta are the eccentric angles of extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is -

maths-General
parallel
General
Maths-

If x cos alpha + y sin alpha = p is a tangent to the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, then -

If x cos alpha + y sin alpha = p is a tangent to the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, then -

Maths-General
General
Maths-

Equation of chord of the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1 joining the points P (a cosalpha, b sin alpha) and Q (a cos beta, b sin beta) is 7

Equation of chord of the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1 joining the points P (a cosalpha, b sin alpha) and Q (a cos beta, b sin beta) is 7

Maths-General
General
physics-

In Young's double slit experiment, 12 fringes are obtained to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If wavelength of light is changed to 400 nm, number of fringes observed in the same segment of the screen is given by

In Young's double slit experiment, 12 fringes are obtained to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If wavelength of light is changed to 400 nm, number of fringes observed in the same segment of the screen is given by

physics-General
parallel
General
physics-

Intensity of central bright fringe due to interference of two identical coherent monochromatic sources is I. If one of the source is switched off, then intensity of central bright fringe becomes

Intensity of central bright fringe due to interference of two identical coherent monochromatic sources is I. If one of the source is switched off, then intensity of central bright fringe becomes

physics-General
General
maths-

If P (a costheta, bsintheta) is a point on an ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, then 'theta ' is –

If P (a costheta, bsintheta) is a point on an ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, then 'theta ' is –

maths-General
General
Maths-

If the normal at the point P(theta) to the ellipse fraction numerator x to the power of 2 end exponent over denominator 14 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 5 end fraction equals 1intersects it again at the point Q(2theta) then costheta =

If the normal at the point P(theta) to the ellipse fraction numerator x to the power of 2 end exponent over denominator 14 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 5 end fraction equals 1intersects it again at the point Q(2theta) then costheta =

Maths-General
parallel
General
maths-

If a tangent to ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction blank+ fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction= 1 makes an angle alpha with x- axis, then square of length of intercept of tangent cut between axes is-

If a tangent to ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction blank+ fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction= 1 makes an angle alpha with x- axis, then square of length of intercept of tangent cut between axes is-

maths-General
General
physics-

Vibrating tuning fork of frequency n is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through 8.75 blank c m comma the intensity of sound changes from a maximum to minimum. If the speed of sound is 350 blank m divided by s. then n is

Vibrating tuning fork of frequency n is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through 8.75 blank c m comma the intensity of sound changes from a maximum to minimum. If the speed of sound is 350 blank m divided by s. then n is

physics-General
General
maths-

PQ and QR are two focal chords of an ellipse and the eccentric angles of P,Q,R and
2 alpha, 2 beta comma blank 2 gammarespectively then tan beta tan gamma is equal to -

PQ and QR are two focal chords of an ellipse and the eccentric angles of P,Q,R and
2 alpha, 2 beta comma blank 2 gammarespectively then tan beta tan gamma is equal to -

maths-General
parallel
General
maths-

The radius of the circle passing through the points of intersection of ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction = 1 and x2 – y2 = 0 is -

The radius of the circle passing through the points of intersection of ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction = 1 and x2 – y2 = 0 is -

maths-General
General
maths-

If  alpha comma beta are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is -

If  alpha comma beta are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is -

maths-General
General
maths-

If ϕ is the angle between the diameter through any point on a standard ellipse and the normal at the point, then the greatest value of tan ϕ is–

If ϕ is the angle between the diameter through any point on a standard ellipse and the normal at the point, then the greatest value of tan ϕ is–

maths-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.