Home
Class 12
MATHS
Statement I : The lines x(a+2b) +y(a+3b)...

Statement I : The lines `x(a+2b) +y(a+3b)=a+b ` are concurrent at the point `(2,-1)`
Statement II : The lines `x+y -1 =0 and 2x + 3y -1 = 0 ` intersect at the point `(2,-1)`

A

Statement I is true ,statement II is true , statement II is a correct explanation for statement I

B

Statement I is true ,statement II is true statement II is not a correct explanation for statement I

C

Statement I is true ,statement II is false

D

Statement I is false ,statement II is true

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|11 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 7 : (Subjective Type Questions)|4 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 5 : (Matching Type Questions)|5 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point of intersection.

The point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1 does not lie on the line

Are the points (2,1) and (-3,5) on the same or opposite side of the line 3x - 2y + 1 = 0 ?

Find the point of intersection of the straight lines : 2x + 3y-6 = 0, 3x - 2y-6= 0 .

If the otrhocentre of the triangle formed by the lines 2x + 3y -1 = 0, x +2y -1=0, ax + by -1=0 is at the origin then (a,b) is given by.

Statement 1 :If the point (2a-5,a^2) is on the same side of the line x+y-3=0 as that of the origin, then a in (2,4) Statement 2 : The points (x_1, y_1)a n d(x_2, y_2) lie on the same or opposite sides of the line a x+b y+c=0, as a x_1+b y_1+c and a x_2+b y_2+c have the same or opposite signs.

Statement-I The point A(3, 1, 6) is the mirror image of the point B(1, 3, 4) in the plane x-y+z=5 . Statement-II The plane x-y+z=5 bisect the line segment joining A(3, 1, 6) and B(1,3, 4) .

Find the equation of the line passing through the point of intersection of the lines 4x + 7y-3 = 0 and 2x -3y +1=0 that has equal intercepts on the axes.

Find the equations of the tangent line to the curve: y = 2x^2 + 3y^2 = 5 at the point (1,1)

Find the equation of the line perpendicular to the line 2x+y -1 = 0 through the intersection of the lines x+2y -1= 0 and y=x.