Home
Class 12
MATHS
If a + bne 0 , find the coordinates o...

If `a + bne 0` , find the coordinates of focus and the length of latus rectum of the parabola `y^(2) = 2 mx ` which passes through the point of intersection of the straight lines `(x)/(a)+(y)/(b)=1` and `(x)/(b)+(y)/(a)=1` .

Text Solution

Verified by Experts

The correct Answer is:
2m `=2* (ab)/(4(a+b))=(ab)/(a+b)` unit .
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CHHAYA PUBLICATION|Exercise M . C. Q|16 Videos
  • PARABOLA

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Qusetions|21 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos
  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams E Assertion -Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

The length of latus rectum of the parabola 3x^(2) =- 8y is _

Find the length of the latus rectum of the parabola y =- 2x^(2) + 12 x - 17 .

The coordinates of one of the end-points of the latus rectum of the parabola (y - 1)^(2) = 2(x + 2 ) are _

Find the latus rectum of the parabola (y-3)^2=6(x-2)

Find the focus, the length of the latus rectum and the directrix of the parabola 3x^(2) = 8y

The parabola y^(2) = 2ax gose through the point of intersection of (x)/(3)+(y)/(2)=1 and (x)/(2) +(y)/(3)=1 . Find its focus .

Find the coordinates of the focus , axis, the question of the directrix and latus rectum of the parabola y^(2)=8x .

The parabola y^2=4ax passes through the point (2,-6). Find the length of the latus rectum.

Find the coordinates of vartex and the length of latus rectum of the parabola whose focus is (0,0) and the directrix is the line 2 x + y =1

If the straight line ax+y+6=0 passes through the point of intersection of the lines x+y+4=0 and 2x+3y+10=0 , find a.