It is desired to construct a right angle...

It is desired to construct a right angled triangle ABC `(/_C= pi/2)` in x-y plane so that its sides are parallel to coordinates axis and the medians through A and B lie on the lines `y = 3x+1` and `y = mx +2` respectively. The values of `m` for which such a triangle is possible is/are

A

12

B

`3//4`

C

`4//3`

D

`1//12`

Text Solution

Verified by Experts

The correct Answer is:

A, B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

MATHEMATICS
FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE)|34 Videos
MATHEMATICS
FIITJEE|Exercise NUMERICAL BASED QUESTIONS|23 Videos
MATHEMATICS
FIITJEE|Exercise ASSERTION REASONING|8 Videos
MATHEMATICAL REASONING
FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos
MATHEMATICS TIPS
FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

Two sides of a triangle are parallel to the coordinate axes. If the slopes of the medians through the acute angles of the triangle are 2 and m , the m= 1/2 (b) 2 (c) 4 (d) 8

In a triangle ABC, co-ordinates of A are (1,2) and the equations to the medians through B and C are x+y=5 and x=4 respectively.Then the co-ordinates of B and C will be

in a triangle ABC, if A is (1,2) and the equations of the medians through B and c are x+y=5 and x=4 respectively then B must be:

The coordinates of the orthocentre of the triangle formedby the lines 2x^(2)-3xy+y^(2)=0 and x+y=1 are

In a triangle ABC, AB is parallel to y-axis, BC is parallel to x-axis, centroid is at (2, 1), If median through C is x-y=1, then the slope of median through A is

In a triangle ABC, coordinate of A are (1,2) and the equations of the medians through B and C are respectively, x+y=5&x=4 . Then area of DeltaABC (in sq. units) is:

If the tangent to a curve y = x^(3) -x at x =2 is parallel to the line y = mx -19 then the value of m is

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively , The equation of external bisector of angle B is

If the x-coordinate of the point of intersection of the lines x-y+3=0 and mx+2y+1=0 is integer,then the number of possible values of m are

FIITJEE-MATHEMATICS -MCQ (MULTIPLE CORRECT)

Tangents are drawn to the circle x^2+y^2=50 from a point 'P' lying on ...
Text Solution
|
The equation (b-c)x+(c-a)y+(a-b)=0 and (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0...
Text Solution
|
It is desired to construct a right angled triangle ABC (/C= pi/2) in x...
Text Solution
|
Two sides of a rhombus OABC ( lying entirely in first quadrant or four...
Text Solution
|
A circle of radius r,r ne 0 touches the parabola y ^(2) + 12 x =0 at t...
Text Solution
|
The equation of AB,BC, AC three sides of a triangle are -x + y -1 =0, ...
Text Solution
|
If (a, 0) is a point on a diameter of the circle x^(2)+y6(2)=4, then t...
Text Solution
|
The equation(s) of the tangent at the point (0,0) to the circle, makin...
Text Solution
|
A tangent is drawn at any point (l,m) l, m ne 0 on the parabola y ^(2)...
Text Solution
|
a square is inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One ...
Text Solution
|
If sqrt(1- sin A)= sin "" A/2 - cos "" A/2 could lie in quadrant
Text Solution
|
If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then x=pi/4 (b) y=0 y=1 ...
Text Solution
|
If sin(picostheta)=cos(pis intheta),t h e ns in2theta= +-3/4 (b) +-4...
Text Solution
|
AB and CD are two equal and parallel chords of the ellipse (x ^(2))/(a...
Text Solution
|
In a triangle with sides, a,b, and c a semicircle toughing the sides A...
Text Solution
|
In Delta ABC, sec A, sec B, sec C are in harmonic progression, then
Text Solution
|
If in a triangle ABC, b cos ^(2) "" A/2 + a cos ^(2) "" B/2 = (3c)/(2)...
Text Solution
|
If the roots of the equation c^(2)x^(2)- c(a+b)x + ab =0 are sin A, s...
Text Solution
|
If in a triangle ABC, CD is the angular bisector of the angle ACB then...
Text Solution
|
The equation (b-c)x+(c-a)y+(a-b)=0 and (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0...
Text Solution
|