Home
Class 12
MATHS
The curve y=a x^3+b x^2+c x+5 touches th...

The curve `y=a x^3+b x^2+c x+5` touches the x-axis at `P(-2,0)` and cuts the y-axis at the point `Q` where its gradient is 3. Find the equation of the curve completely.

Promotional Banner

Similar Questions

Explore conceptually related problems

The curve y=ax^(3)+bx^(2)+cx+5 touches the x -axis at P(-2,0) and cuts the y-axis at the point Q where its gradient is 3. Find the equation of the curve completely.

The curve y = ax ^(3) + bx ^(2) + cx + 5 touches the x-axis at P (-2, 0) and cuts the y-axis at a point Q where its gradient is 3, then 2a + 4b is equal to :

The curve x^(2)+2xy-y^(2)-x-y=0 cuts the x -axis at (0,0) at an angle

The curve x^(4)-2xy+y+3x3y=0 cuts the x -axis at (0,0) at an angle

The curve y=ax^(3)+bx^(2)+cx is inclined at 45^(@) to x-axis at (0,0) but it touches x-axis at (1,0) , then

If the curve y=ax^(3) +bx^(2) +c x is inclined at 45^(@) to x-axis at (0, 0) but touches x-axis at (1, 0) , then

The curve x = 4 - 3y - y^(2) cuts the y-axis into two points P and Q. then the area enclosed by the y-axis and the portion of the curve which lies between P and Q is

The curve x^(4)+2xy^(2)+y^(2)+3x+3y=0 cuts the X-axis at (0,0) at an angle of