Home
Class 12
MATHS
Statement I If sum of algebraic distance...

Statement I If sum of algebraic distances from points A(1,2),B(2,3),C(6,1) is zero on the line `ax+by+c = 0` then `2a+3b + c = 0` ,
Statement II The centroid of the triangle is (3,2)

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:
D
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|11 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 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

Statement 1: If the sum of algebraic distances from point A(1,1),B(2,3),C(0,2) is zero on the line ax+by+c=0, then a+3b+c=0 statement 2: The centroid of the triangle is (1,2)

Let A(5,6), B(-2,3) and C(6,-1) be the vertices of Delta ABC . Find the coordinates of the centroid of the triangle.

If algebraic sum of distances of a variables line from points A(3,0),B(0,3) and C(-3,-3) is zero,then the line passes through the fixed point

The algebraic sum of the perpendicular distances from the points A(-2,0),B(0,2) and C(1,1) to a variable line be zero,then all such lines

Statement 1: The area of the triangle formed by the points A(1000,1002),B(1001,1004),C(1002,1003) is the same as the area formed by the point A'(0,0),B'(1,2),C'(2,1) statement 2: The area of the triangle is constant with respect to the translation of axes.

The algebraic sum of distances of the line ax + by + 2 = 0 from (1,2), (2,1) and (3,5) is zero and the lines bx - ay + 4 = 0 and 3x + 4y + 5=0 cut the coordinate axes at concyclic points. Then (a) a+b=-2/7 (b) area of triangle formed by the line ax+by+2=0 with coordinate axes is 14/5 (c) line ax+by+3=0 always passes through the point (-1,1) (d) max {a,b}=5/7

Statement-1: If a, b, c in Q and 2^(1//3) is a root of ax^(2) + bx + c = 0 , then a = b = c = 0. Statement-2: A polynomial equation with rational coefficients cannot have irrational roots.

A variable straight line passes through a fixed point (a, b) intersecting the co-ordinates axes at A & B. If 'O' is the origin, then the locus of the centroid of the triangle OAB is (A) bx+ ay-3xy=0 (B) bx+ay-2xy=0 (C) ax+by-3xy=0 (D) ax+by-2xy=0.

Let the algebraic sum of the perpendicular distances from the points (2,0),(0,2) and (1,1) to a variable straight line be zero.Then the line pass through a fixed point whose coordinates are (1,1) b.(2,2) c.(3,3) d.(4,4)