Home
Class 12
MATHS
Let xtan alpha + ysin alpha= alpha and ...

Let `xtan alpha + ysin alpha= alpha` and `xalpha cosec alpha + ycosalpha= 1` be two variable straight lines, `alpha` being the parameter. Let `P` be the point of intersection of the lines. In the limiting position when `a ->0,` the point `P` lies on the line :

A

`x=2`

B

`x=-1`

C

`y+1=0`

D

`y=2`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|8 Videos
  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|1 Videos
  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos
  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|6 Videos
  • LOGARITHMS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|19 Videos

Similar Questions

Explore conceptually related problems

The point of intersection of lines is (alpha, beta) , then the equation whose roots are alpha, beta , is

If sinalpha, sin^2alpha, 1 , sin^4alpha and sin^6alpha are in A.P., where -pi < alpha < pi, then alpha lies in the interval

Locus of the point of intersection of lines x cosalpha + y sin alpha = a and x sin alpha - y cos alpha =b (alpha in R ) is

If the straight lines ax+by+p=0 and x cos alpha +y sin alpha = c enclose an angle pi//4 between them and meet the straight line x sin alpha - y cos alpha = 0 in the same point , then

If p sin^(3)alpha+qcos^(3)alpha=sinalphacosalpha and p sinalpha - q cos alpha=0, then prove that : p^(2)+q^(2)=1

If a pair of variable straight lines x^2 + 4y^2+alpha xy =0 (where alpha is a real parameter) cut the ellipse x^2+4y^2= 4 at two points A and B, then the locus of the point of intersection of tangents at A and B is

Find the locues of the middle point of the portion of the line x"cos"alpha+y"sin"alpha=p , where p is a costant, intercepted between the axes.

Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).

Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x=5y+2=0 The point of intersection of line is (alpha, beta) , then the value of alpha^2+beta^2 is