Home
Class 12
MATHS
If x cos alpha + y sin alpha = x cos bet...

`If x cos alpha + y sin alpha = x cos beta + y sin beta "then"`
`"tan" (alpha + beta)/2=`

A

`y/x`

B

`x/y`

C

`(x+y)/y`

D

`(x-y)/y`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos
  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise sample questions for competive examination|20 Videos

Similar Questions

Explore conceptually related problems

If x cos alpha + y sin alpha=x cos beta+y sin beta,"show that",y=x "tan"(alpha+beta)/2

Under rotation of axes through theta , x cosalpha + ysinalpha=P changes to Xcos beta + Y sin beta=P then . (a) cos beta = cos (alpha - theta) (b) cos alpha= cos( beta - theta) (c) sin beta = sin (alpha - theta) (d) sin alpha = sin ( beta - theta)

Knowledge Check

  • If x cos alpha + y sin alpha = x cos beta + y sin beta "then" (2(1-cos (alpha - beta)))/(cos beta - cos alpha)^(2)=

    A
    `(x^(2)-y^(2))/y^(2)`
    B
    `(x^(2)+y^(2))/y^(2)`
    C
    `(x+y)/y`
    D
    `(x-y)/y`
  • If x cos alpha + y sin alpha = x cos beta + y sin beta "then" (sin alpha - cos alpha - sin beta + cos beta)/(sin alpha + cos alpha - sin beta - cos beta)=

    A
    `(y+x)/(y-x)`
    B
    `(y-x)/(y+x)`
    C
    `(x-y)/(x+y)`
    D
    `(x+y)/(x-y)`
  • The lines x cos alpha + y sin alpha = p_1 and x cos beta + y sin beta = p_2 will be perpendicular, if :

    A
    `alpha = beta`
    B
    `|alpha - beta| = pi/2`
    C
    `alpha = pi/2`
    D
    `alpha +- beta = pi/2`
  • Similar Questions

    Explore conceptually related problems

    If sin alpha sin beta - cos alpha cos beta + 1 = 0,"show that", sin (alpha + beta) = 0, "hence deduce that," 1 + cot alpha tan beta = 0.

    If cos alpha+ cos beta= a sin alpha+ sin beta=b , then show that "tan" (alpha)/(2)+"tan" (beta)/(2)= (4b)/(a^(2)+b^(2)+2a)

    If sin 2 alpha + sin 2 beta = 3 "and" cos 2 alpha + cos 2 beta = 4,"then"- tan2 (alpha + beta)=

    If sin alpha = sin beta and cos alpha = cos beta then-

    sin alpha + sin beta = a "and" cos alpha + cos beta = b sin (alpha + beta) =