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

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

STRAIGHT LINES AND PAIR OF STRAIGHT LINES
DISHA PUBLICATION|Exercise EXERCISE 2: CONCEPT APPLICATOR|30 Videos
STRAIGHT LINES AND PAIR OF STRAIGHT LINES
DISHA PUBLICATION|Exercise EXERCISE 2: CONCEPT APPLICATOR|30 Videos
SETS
DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos
THREE DIMENSIONAL GEOMETRY
DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If a straight line L with negative slope passing through (8,1) meets the coordinate axes at A and B then minimum value of OA+OB is

A straight line with negative slope passing through the point (2,8) cuts the cordinate axes at A and B then minimum value of OA+OB (where 0 is origin) is equal to

A straight line with negative slope passing through the point (1,4) meets the coordinate axes at A and B.The minimum value of OA+OB is equal to

A straight line L with negative slope passes through the point (8,2) and cuts the positive coordinate axes at the points P and Q .as L varies, the absolute minimum value of (OP+OQ)/2 O is origin is

A straight line L.with negative slope passes through the point (8,2) and cuts the positive coordinate axes at points P and Q, then the correct statement(s) among the following is/are (O is origin)

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 straight line passes through a fixed point (n,k),n,k>0 and intersects the coordinate axes at P(a,0) and Q(0,b), Show that the minimum value of (a+b) is (sqrt(n)+sqrt(k))^(2)

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 P and Q. Find the minimum area of triangle OPQ,O being the origin.

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

DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 1: CONCEPT BUILDER

The inclination of the line x-y+3=0 with the positive direction of x-a...
Text Solution
|
The line parallel to the x-axis and passing through the intersection o...
Text Solution
|
A straight line l with negative slope passes through (8,2) and cuts th...
Text Solution
|
If (-4,5) is a vertex of a square and one of its diagonal is 7x-y+8-0....
Text Solution
|
What is the equation of the line mid way between the lines 3x-45y+12=0...
Text Solution
|
What is the equation of the line through (1, 2) so that the segment of...
Text Solution
|
The point (t^(2)+2t+5,2t^(2)+t-2) lies on the line x+y=2 for
Text Solution
|
Find the value of x for which the points (x-1),\ (2,1)a n d\ (4,5)\ a...
Text Solution
|
If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...
Text Solution
|
The perpendicular distance between the straight lines 6x+8y+15=0 and 3...
Text Solution
|
The locus of a point that is equidistant from the lines x+y - 2sqrt2 =...
Text Solution
|
If the line segment joining the points A(a,b) and B(c,d) subtends an a...
Text Solution
|
The angle between y=x+6 and y=sqrt(3)x+y is
Text Solution
|
If p be the length of the perpendicular from the origin on the straigh...
Text Solution
|
The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) a...
Text Solution
|
Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...
Text Solution
|
If 2p is the length of perpendicular from the origin to the lines x/a+...
Text Solution
|
Angle made with the x-axis by a straight line drawn through (1, 2) so ...
Text Solution
|
The distance of the point (1,2,3) form the coordinate axes are A,B and...
Text Solution
|
Find the tangent of the angel between the lines whose intercepts n the...
Text Solution
|