A straight line through the origin O mee...

A straight line through the origin `O` meets the parallel lines `4x+2y=9a n d2x+y+6=0` at points `P` and `Q` respectively. Then the point `O` divides the segement `P Q` in the ratio `1:2` `3:4` `2:1` `4:3`

`1:2`

`3:4`

`2:1`

`4:3`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2) SINGLE CORRECT ANSWER TYPE QUESTIONS|30 Videos
CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|25 Videos
CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED) SINGLE CORRECT ANSWER TYPE QUESTIONS|15 Videos
AREA BY INTEGRATION
MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos
CIRCLES AND SYSTEMS OF CIRCLES
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

A straight line through the origin 'O' meets the parallel lines 4x+2y=9 and 2x+y=-6 at points P and Q respectively.Then the point 'divides the segment PQ in the ratio

A straight line through the origin O meets the parallel lines 4x+2y=9 and 2x+y+6=0 at points P and Q respectively. Then the point O divides the segement P Q in the ratio (1) 1:2 (2) 3:4 (3) 2:1 (4) 4:3

A straight line through the origin o meets the parallel lines 4x+2y= 9 and 2x +y+ 6=0 points P and Q respectively. Then the point o divides the segment PQ in the ratio: : (A) 1:2 (B) 3:2 (C) 2:1 D) 4:3

A straight line through the point A(1,1) meets the parallel lines 4x+2y=9&2x+y+6=0 at points P and Q respectively.Then the point A divides the segment PQ in the ratio:

A straight line through origin O meets the lines 3y=10-4x and 8x+6y+5=0 at point A and B respectively. Then , O divides the degment AB in the ratio.

A line through the point P(2,-3) meets the lines x-2y+7=0 and x+3y-3=0 at the points A and B respectively.If P divides AB externally in the ratio 3:2 then find the equation of the line AB.

A straight line L passing through the point P(-2,-3) cuts the lines, x + 3y = 9 and x+y+1=0 at Q and R respectively. If (PQ) (PR) = 20 then the slope line L can be (A) 4 (B) 1 (C) 2 (D) 3

A straight-line L through the origin meets the lines x+y=1 and x+y=3 at P and Q respectively. Through P and Q two straight lines L_(1) and L_(2) are drawn, parallel to 2x-y=5 and 3x+y=5 , respectively. Lines L_(1) and L_(2) intersect at R, show that the locus of R as L varies, is a straight line

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS

The line, which is parallel to X-axis and crosses the curve y=sqrtx at...
Text Solution
|
A rectangle has two opposite vertices at the points (1,2) and (5,5). I...
Text Solution
|
A straight line through the origin O meets the parallel lines 4x+2y=9a...
Text Solution
|
Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...
Text Solution
|
The number of integer values of m, for which the x-coordiante of the p...
Text Solution
|
If the line 2x + y = k passes through the point which divides the line...
Text Solution
|
A line is drawn through the point (1, 2) to meet the coordinate axes ...
Text Solution
|
Let PQR be a right - angled isosceles triangle , right angled at P(2,1...
Text Solution
|
The orthocentre of the triangle formed by the lines xy = 0 and 2x+3y-5...
Text Solution
|
The equations of the sides of a parallelogram are x = 2, x = 3 and y =...
Text Solution
|
The lines joining the origin to the point of intersection of The lines...
Text Solution
|
The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...
Text Solution
|
The line L given by x/5+y/b=1 passes through the point (13,32). The li...
Text Solution
|
Consider three points P = (-sin (beta-alpha), -cos beta), Q = (cos(bet...
Text Solution
|
L1 = x + 3y-5=0, L2= 3x-ky-1=0 , L3 = 5x + 2y-12 = 0 are concurrent i...
Text Solution
|
Consider the lines L(1): x+y=10, " " L(2):x+y=60 L(3):x=40, "...
Text Solution
|
Line through P(a, 2) meets the ellipse x^2/9+y^2/4=1 at A and D and m...
Text Solution
|
The parallelogram is bounded by the lines y=ax + c; y=ax + d; y=bx + c...
Text Solution
|
A straight line L through the point (3,-2) is inclined at an angle 60^...
Text Solution
|
Given the four lines with the equations x+2y-3=0, 3x+4y-7=0, 2x+3y...
Text Solution
|