Home
Class 12
MATHS
Consider the lines represented by equati...

Consider the lines represented by equation `(x^(2) + xy -x) xx (x-y) =0` forming a triangle. Then match the following lists:

Text Solution

Verified by Experts

The correct Answer is:
`a to q,r, s;" b" to p; " c" to q,s; " d" to q`

a.

`h_(1) = |(10)/(sqrt(10))| = sqrt(10)`
`h_(2) = (10)/(sqrt(10)) = sqrt(10)`
Hence, the given lines form a square of side `sqrt(10)`. Therefore, the area is 10 sq. units.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise EXERCISE (NUMERICAL VALUE TYPE)|13 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise ARCHIVES (JEE MAIN)|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise EXERCISE (LINKED COMPREHENSION TYPE)|27 Videos
  • STRAIGHT LINE

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|8 Videos
  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

Similar Questions

Explore conceptually related problems

Each equation contains statements given in two columns which have to be matched. Statements (a,b,c,d) in column I have to be matched with Statements (p, q, r, s) in column II. If the correct match are avecp ,avecs ,bvecq ,bvecr , cvecp , cvecq , and dvecs , then the correctly bubbled 4x4 matrix should be as follows: Figure Consider the lines represented by equation (x^2+x y-x)(x-y)=0, forming a triangle. Then match the following: Column I|Column II a. Orthocenter of triangle |p. (1/6,1/2) b.Circumcenter|q. (1(2+2sqrt(2)),1/2) c.Centroid|r. (0,1/2) d.Incenter|s. (1/2,1/2)

the equation 2x^(2) + 5xy - 12 y^(2) = 0 represents a _

The equation x^(3) - yx^(2) + x - y = 0 represents

x = 0 , y = 0 represent the equation of _

The equation 2x^2+5xy - 12y^2=0 represents a

The straight lines represented by the equation 135 x^2-136 x y+33 y^2=0 are equally inclined to the line (a) x-2y=7 (b) x+2y=7 (c) x-2y=4 (d) 3x+2y=4

The second degree equation x^2+4y^2-2x-4y+2=0 represents

Let P and Q be any two points on the lines represented by 2x-3y = 0 and 2x + 3y = 0 respectively. If the area of triangle OPQ (where O is origin) is 5, then which of the following is not the possible equation of the locus of mid-point of PQ?

The distance between the two lines represented by the equation 9x^2-24xy+16y^2-12x+16y-12 =0

The equation x^(3)+x^(2)y-xy^(2)=y^(3) represents