Home
Class 12
MATHS
Two sides of a rhombus ABCD are parallel...

Two sides of a rhombus ABCD are parallel to the lines y = x + 2 and y = 7x + 3 If the diagonals of the rhombus intersect at the point (1, 2) and the vertex A is on the y-axis, then vertex A can be a. (0,3) b. (0,5/2) c. (0,0) d. (0,6)

A

`(0, (5)/(2))`

B

(0, 0)

C

(0, 5)

D

(0, 3)

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|4 Videos

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Matching Type Problems|2 Videos

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|10 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

Two sides of a Rhombus ABCD are parallel to the lines x-y=5 and 7x-y=3 . The diagonals intersect at (2,1) then the equations of the diagonals are

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (a) (8/5,(16)/5) (b) (7/(15),(14)/(15)) (c) (6/5,(12)/5) (d) (4/(15),8/(15))

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (8/5,(16)/5) (b) (7/(15),(14)/(15)) (6/5,(12)/5) (d) (4/(15),8/(15))

the equation of two adjacent sides of rhombus are given by y=x and y=7x . the diagonals of the rhombus intersect each other at point of (1,2) .then the area of the rhombus is:

The sides of a rhombus are parallel to y=2x+3a n d2y=x+5 . The diagonals of the rhombus intersect at (1, 2). If one vertex of the rhombus lies on the y-axis then possible values of the ordinates of this vertex are 1 (b) 2 (c) 3 (d) 4

A rhombus has two of its sides parallel to the lines y=2x+3 and y=7x+2 . If the diagonals cut at (1, 2) and one vertex is on the y-axis, find the possible values of the coordinate of that vertex.

Two sides of a rhombus are along the lines, x-y+1=0 and 7x-y-5=0 . If its diagonals intersect at (-1,-2) , then which one of the following is a vertex of this rhombus ? (1) (-3,-9) (2) (-3,-8) (3) (1/3,-8/3) (4) (-(10)/3,-7/3)

Two sides of a rhombus lying in the first quadrant are given by 3x-4y=0 and 12 x-5y=0 . If the length of the longer diagonal is 12, then find the equations of the other two sides of the rhombus.

Find the equation of the parabola whose focus is at (0, 0) and vertex is at the intersection of the line x+y=1 and x-y=3 .

If the two sides of rhombus are x+2y+2=0 and 2x+y-3=0, then find the slope of the longer diagonal.