`4x^2-9y^2-2x-3y`

Factorize following experssions (i) x^(4)-y^(4)" (ii)"9a^(2)-(2x-y)^(2)" (iii)"4x^(2)-9y^(2)-6x-9y

Factorize following experssions (i) x^(4)-y^(4)" (ii)"9a^(2)-(2x-y)^(2)" (iii)"4x^(2)-9y^(2)-6x-9y

Let (x,y) be a variable point on the curve 4x^(2)+9y^(2)-8x-36y+15=0 then min(x^(2)-2x+y^(2)-4y+5)+max(x^(2)-2x+y^(2)-4y+5)

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 PO? (a) 4x^2-9y^2 +30 = 0 (b) 4x^2-9y^2-30 = 0 (c) 9x^2-4y^2-30=0 (d) none of these

Find the equations of the tangents to the hyperbola 4x^2 - 9y^2 = 36 which are parallel to the line 5x-3y=2 .

The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at right angles. Then the equation of the circle through the points of intersection of two conics is (a) x^2+y^2=5 (b) sqrt(5)(x^2+y^2)-3x-4y=0 (c) sqrt(5)(x^2+y^2)+3x+4y=0 (d) x^2+y^2=25

The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at right angles. Then the equation of the circle through the points of intersection of two conics is (a) x^2+y^2=5 (b) sqrt(5)(x^2+y^2)-3x-4y=0 (c) sqrt(5)(x^2+y^2)+3x+4y=0 (d) x^2+y^2=25

Find the product of the following. (4x^2+9y^2+z^2+6xy+2xz-3yz) (2x-3y-z)

Find the middle term inn (i) ((2y^(2))/(3)+(3)/(2y^(2)))^(9),y ne0 (ii) (4x^(2)+9y^(2)+12xy)^(n)