A straight line l with negative slope pa...

A straight line l with negative slope passes through (8,2) and cuts the coordinate axes at P and Q. Find absolute minimum value of ''OP+OQ`` where O is the origin-

Text Solution

AI Generated Solution

Topper's Solved these Questions

SEQUENCES AND SERIES
CENGAGE ENGLISH|Exercise All Questions|508 Videos
TRIGONOMETRIC FUNCTIONS
CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

A line is drawn passing through point P(1,2) to cut positive coordinate axes at A and B . Find minimum area of DeltaPAB .

A variable line passing through point P(2,1) meets the axes at A and B . Find the locus of the circumcenter of triangle O A B (where O is the origin).

Let (h , k) be a fixed point, where h >0,k > 0. A straight line passing through this point cuts the positive direction of the coordinate axes at the point Pa n dQ . Find the minimum area of triangle O P Q ,O being the origin.

A variable line through the point P(2,1) meets the axes at A an d B . Find the locus of the centroid of triangle O A B (where O is the origin).

A line is drawn through the point (1, 2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the origin. If the area of the triangle OPQ is least, then the slope of the line PQ is

A straight line passing through P(3,1) meets the coordinate axes at Aa n dB . It is given that the distance of this straight line from the origin O is maximum. The area of triangle O A B is equal to

A straight line passes through the points P(-1, 4) and Q(5,-2). It intersects the co-ordinate axes at points A and B. M is the midpoint of the segment AB. Find : The equation of the line.

The straight line x/a+y/b=1 cuts the coordinate axes at A and B . Find the equation of the circle passing through O(0,0),Aa n dBdot

Find the equation of straight line which passes through the point P(2,6) and cuts the coordinate axis at the point A and B respectively so that AP:BP=2:3.

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q. If O is the origin and the rectangle OPRQ is completed then the locus of R is

CENGAGE ENGLISH-STRAIGHT LINES-All Questions

Let the algebraic sum of the perpendicular distance from the points (2...
Text Solution
|
A straight line through the origin 'O' meets the parallel lines 4x +2y...
Text Solution
|
A straight line l with negative slope passes through (8,2) and cuts th...
Text Solution
|
A straight line L through the origin meets the lines x + y = 1 and x +...
Text Solution
|
A rectangle PQRS has its side PQ parallel to the line y= mx and verti...
Text Solution
|
The area of the triangle formed by the intersection of a line parallel...
Text Solution
|
The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...
Text Solution
|
The area enclosed within the curve |x|+|y|=1 is
Text Solution
|
Find the orthocentre of the triangle the equations of whose sides are ...
Text Solution
|
If a , b and c are in A P , then the straight line a x+b y+c=0 will al...
Text Solution
|
Statement-l: If the diagonals of the quadrilateral formed by the lines...
Text Solution
|
Statement :Two different lines can be drawn passing through two given ...
Text Solution
|
Statement 1: The internal angle bisector of angle C of a triangle A B ...
Text Solution
|
The joint equation of lines y=xa n dy=-x is y^2=-x^2, i.e., x^2+y^2=0 ...
Text Solution
|
Statement I If sum of algebraic distances from points A(1,2),B(2,3),C(...
Text Solution
|
Each question has four choice: a, b, c and d, out of which only one is...
Text Solution
|
Statement 1:If the point (2a-5,a^2) is on the same side of the line x+...
Text Solution
|
Statement 1: Each point on the line y-x+12=0 is equidistant from the l...
Text Solution
|
If lines p x+q y+r=0,q x+r y+p=0 and r x+p y+q=0 are concurrent, the...
Text Solution
|
the diagonals of the parallelogram formed by the the lines a1x+b1y+c1=...
Text Solution
|