If P(alpha,beta), abgt0 " and the variab...

If `P(alpha,beta), abgt0 " and the variable line " x/a+y/b=1 " is draw through the given point " p(alpha,beta)`, then the least area of triangle formed by this line and the coordinate axes is

`alpha,beta`

`2alpha,beta`

`3alpha,beta`

`1/2alpha,beta`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

STRAIGHT LINES
AAKASH SERIES|Exercise PRACTICE SHEET(EXERCISE-I Problems on slopes, Equation of Lines and Interceptes of a line , Areas) (LEVEL -II More than One correct answer Type Questions)|2 Videos
STRAIGHT LINES
AAKASH SERIES|Exercise PRACTICE SHEET(EXERCISE-I Problems on slopes, Equation of Lines and Interceptes of a line , Areas(level-II)(Integer Type Question)|3 Videos
STRAIGHT LINES
AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-IV Problems on Anle between lines, Foot, Image Orthocentre, Circumcentre, Incentre, Angle Bisectors and Locus )(Integer Type Questions)|4 Videos
REVISION EXERCISE
AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos
TANGENT AND NORMAL
AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle formed by the line 3x-4y+12=0 with the coordinate axes.

A variable line x//a+y//b = 1 moves in such a way that the harmonic mean of a and b is 8. Then the lest area of triangle made by the line with the coordinate axes is

The area of the triangle formed by the line x cos alpha+y sin alpha=p with the coordinate axes is

Find the area of Delta^(l e) formed by the straight line x cos alpha+ysin alpha=p on the co-ordinate axes.

A variable line passing through a fixed point (alpha,beta) intersects the coordinate axes at A and B. If O is the origin, then the locus of the centroid of the DeltaOAB is

A straight line through the fixed point (3,4) cuts the coordinate axes at A and B. If the area of the triangle formed by the line and the coordinate axes is least then the the ratio of intercepts is …….. And the min area is ……..

AAKASH SERIES-STRAIGHT LINES-PRACTICE SHEET(EXERCISE-I Problems on slopes, Equation of Lines and Interceptes of a line , Areas) (LEVEL -I Straight Objective Type Question)

The equation of the straight line which bisects the intercepts between...
Text Solution
|
The lines 2x+3y=6, 2x+3y=8 cut the X-axis at A, B respectively. A line...
Text Solution
|
If h denote the arithmetic mean, k denote G.M. of the intercepts made ...
Text Solution
|
The area of the triangle formed by the axes and the line cos h alpha- ...
Text Solution
|
If a straight line L is perpendicular to the line 4x-2y=1 and forms a ...
Text Solution
|
The line x/a+y/b=1 meets the axis of x and y at A and B respectively a...
Text Solution
|
The area of the triangle formed by line y=ax , x+y-a=0 and y axis is
Text Solution
|
OPQR is a square and M,N are the middle points of sides PQ and QR resp...
Text Solution
|
If P=(1/(Xp),p),Q=P=(1/(Xq),q),R=(1/(x^r),r) " where " xk ne 0, " den...
Text Solution
|
The area of a parallelogram formed by the line axpmbypmc=0 is
Text Solution
|
If the area of the rhombus enclosed by the lines lxpmmypmn=0 be 2 sp u...
Text Solution
|
The area enclosed by 2absx+3absyle6 is
Text Solution
|
If f(x+y)=f(x)f(y) for all x and y if f(1)=2, then area enclosed by 3a...
Text Solution
|
Given A(0, 0) and B(x, y) with x in (0, 1) and y gt 0. Let the slope o...
Text Solution
|
If from point P(4,4) perpendiculars to the straight lines 3x+4y+5 and ...
Text Solution
|
A point moves in the xy - plane such that th sum of its, distances fro...
Text Solution
|
The line x+y=p meets the x-and y-axes at A and B, respectively. A tri...
Text Solution
|
P(m,n)(where m,n are natural numbers) is any point in the interior of ...
Text Solution
|
If P(alpha,beta), abgt0 " and the variable line " x/a+y/b=1 " is draw ...
Text Solution
|
A-=(-4,0) ,B-=(4,0). M and N are the variable point of the y-axis such...
Text Solution
|