Maths-
General
Easy

Question

If a line AB makes an angle theta with OX and is at a distance of p units from the origin then the equation of AB is

  1. x sin theta ‐y cos theta equals p    
  2. x cos theta plus y sin theta equals p    
  3. x sin theta plus y cos theta equals p    
  4. x cos theta ‐y sin theta equals p    

The correct answer is: x sin theta ‐y cos theta equals p


    We should find the equation of the line AB
    Equation of line,
    y=tanθx+c      c<0  [from diagram]
    by given distance from the origin,
    c=cosθp
    y=xtanθcosθp
    xsinθycosθ=p

    Hence choice 1 is correct

    Related Questions to study

    General
    chemistry-

    Ethylene glycol gives oxalic acid on oxidation with

    Ethylene glycol gives oxalic acid on oxidation with

    chemistry-General
    General
    physics-

    Two thermometers A and B are exposed in sun light. The valve of A is pointed black, but that of B is not pointed. The correct statement regarding this case is

    Two thermometers A and B are exposed in sun light. The valve of A is pointed black, but that of B is not pointed. The correct statement regarding this case is

    physics-General
    General
    physics-

    Two conducting rods A and B of same length and cross-sectional area are connected (i) In series (ii) In parallel as shown. In both combination a temperature difference of 100 ℃ is maintained. If thermal conductivity of A is 3 K and that of B is K then the ratio of heat current flowing in parallel combination to that flowing in series combination is

    Two conducting rods A and B of same length and cross-sectional area are connected (i) In series (ii) In parallel as shown. In both combination a temperature difference of 100 ℃ is maintained. If thermal conductivity of A is 3 K and that of B is K then the ratio of heat current flowing in parallel combination to that flowing in series combination is

    physics-General
    parallel
    General
    chemistry-

    When glycerol is treated with excess of H I comma it produces:

    When glycerol is treated with excess of H I comma it produces:

    chemistry-General
    General
    chemistry-

    Ethyl ester stack CH subscript 3 MgBr with text  excess  end text below text .  end textThe product  will be

    Ethyl ester stack CH subscript 3 MgBr with text  excess  end text below text .  end textThe product  will be

    chemistry-General
    General
    physics-

    Out of the following, in which vessel will the temperature of the solution be higher after the salt is completely dissolved

    Out of the following, in which vessel will the temperature of the solution be higher after the salt is completely dissolved

    physics-General
    parallel
    General
    chemistry-

    By which of the following procedures can ethyl n-propyl ether be obtained?

    By which of the following procedures can ethyl n-propyl ether be obtained?

    chemistry-General
    General
    Maths-

    Line a x plus b y plus p equals 0 makes angle pi divided by 4 with x blank c o s blank alpha plus y blank s i n blank alpha equals p comma p space element of R to the power of straight prime If these lines and the line x blank s i n blank alpha minus y blank c o s blank alpha equals 0 are concurrent, then

    Line a x plus b y plus p equals 0 makes angle pi divided by 4 with x blank c o s blank alpha plus y blank s i n blank alpha equals p comma p space element of R to the power of straight prime If these lines and the line x blank s i n blank alpha minus y blank c o s blank alpha equals 0 are concurrent, then

    Maths-General
    General
    chemistry-

    In the given transformation, which of the following is the most appropriate reagent?

    In the given transformation, which of the following is the most appropriate reagent?

    chemistry-General
    parallel
    General
    physics-

    Two identical square rods of metal are welded end to end as shown in figure (i), 20 calories of heat flows through it in 4 minutes. If the rods are welded as shown in figure (ii), the same amount of heat will flow through the rods in

    Two identical square rods of metal are welded end to end as shown in figure (i), 20 calories of heat flows through it in 4 minutes. If the rods are welded as shown in figure (ii), the same amount of heat will flow through the rods in

    physics-General
    General
    chemistry-

    The decreasing order of boiling points of 1 , 2 , 3, alcohol is:

    The decreasing order of boiling points of 1 , 2 , 3, alcohol is:

    chemistry-General
    General
    maths-

    In ΔABC, if angle A equals fraction numerator pi over denominator 4 end fraction comma angle B equals fraction numerator 5 pi over denominator 12 end fraction then a plus square root of 2 c equals

    In ΔABC, if angle A equals fraction numerator pi over denominator 4 end fraction comma angle B equals fraction numerator 5 pi over denominator 12 end fraction then a plus square root of 2 c equals

    maths-General
    parallel
    General
    chemistry-

    Consider the following reaction, p r o d u c t space X space i s

    Consider the following reaction, p r o d u c t space X space i s

    chemistry-General
    General
    physics-

    A liquid cools down from 70 ℃ to 60 ℃ in 5 minutes. The time taken to cool it from 60 ℃ to 50 ℃ will be

    A liquid cools down from 70 ℃ to 60 ℃ in 5 minutes. The time taken to cool it from 60 ℃ to 50 ℃ will be

    physics-General
    General
    Maths-

    If one of the lines in the pair of stright lines given by 4 x to the power of 2 end exponent plus 6 x y plus k y to the power of 2 end exponent equals 0 bisects the angle between the coordinate axes, then kelement of

    If one of the lines in the pair of stright lines given by 4 x to the power of 2 end exponent plus 6 x y plus k y to the power of 2 end exponent equals 0 bisects the angle between the coordinate axes, then kelement of

    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.