Home
Class 11
MATHS
Reduce each of the followringequations t...

Reduce each of the followringequations to normal form:
(i)x+y-2=0 (ii) `x+y+sqrt2=0` (iii)x+5=0 (iv)2y-3=0 (v)4x+3y-9=0

Text Solution

Verified by Experts

The correct Answer is:
`(i) (x)/(sqrt(2))+(y)/(sqrt(2))=sqrt(2)`; `p=sqrt(2)`
`(ii) -(4)/(5)x-(3)/(5)y+(9)/(5)=0`; `p=(9)/(5)`
`(iii) x=4`; `p=4`
`(iv) (sqrt(3))/(2)x+(1)/(2)y=4`; `p=4`
`(v)(-3)/(5)x+(4)/(5)y=2;2`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10(f)|40 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10(g)|18 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10(d)|11 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

Similar Questions

Explore conceptually related problems

Find two solutions for each of the following equations: (i)4x+3y=12 (ii) 2x+5y=0 (iii) 3y+4=0

2x-y-5=0; x+3y-9=0

Normal form of x+y+sqrt(2)=0 is

Which of the following are qudratic equations? (i) x^2-x-5=0 (ii) y^2+4=3y-1 (iii) 3x^2-5x+3=0 (iv) x-3=4x (v) (y-2)(y+2)=0 (vi) p+3=1/(p^2) (vii) 3/y-4=y .

Reduce the following equations into intercept form and find their intercepts on the axes. (i)3x+2y-12=0 (ii) 6x+3y-5=0 (iii) 3y+2=0

Reduce each of the following into slope-intercept form and find their slopes and y-intercepts : (i) y=0 (ii) x+7y=0 (iii) 3x+3y=5 (iv) 7x+3y-6=0 (v) 2x-4y=5 (vi) 6x+3y-5=0

Find the distance between the line and the point in each of the following : (i) 3x+4y-5=0 , (-3,4) (ii) 12x-5y-7=0 , (3,-1) (iii) 3x-4y-26=0 , (3,-5) (iv) x+y=0 , (0,0) (v)y=4 , (2,3) .

Find two solutions for each (i) 4x + 3y = 12 (ii) 2x + 5y = 0 (ii) 3y + 4 = 0

Determine the nature of the roots of the following quadratic equations from their discriminant : (i) 3y^(2) + 9y+4=0 (ii) 2x^(2) + 5 sqrt(3)x + 16=0 (iii) 4x^(2) + 12x + 9=0 (iv) m^(2) + sqrt(2) m +1=0 (v) x^(2) - (1)/(2) x + (1)/( 16) = 0 (vi) x^(2) - 4x -4=0

Write each of the following equations in the form a x+b y+c=0 and indicate the values of a, b and c in each case: (i) 2x+3y=4. 37 (ii) x-4=sqrt(3)y (iii)4=5x-3y (iv) 2x=y