Question
A line with slope m touches the parabola y ² = 4ax.
The equation of the tangent is:Solution
We are given the parabola and asked to find the equation of a tangent with slope m . For the parabola y ² = 4ax the equation of the tangent with slope m is: 
This result comes from ensuring the line y=mx+ctouches the parabola, i.e., intersects at only one point (discriminant = 0).
In a department 30% of the employees are females. 40% of the male employees know English. The total number of employees who know English is 46%. Find th...
The radius of the base of a solid right circular cylinder is 7 cm, and its height is four times the radius of the base. Determine...
A solid metal sphere of radius 6 cm is melted and recast into smaller solid spheres each of radius 3 cm. How many such smaller spheres can be made?
In a rectangular floor of length and breadth of 20 metres and 9 metres, respectively, square tiles each of 3 metre edge length are to be laid. If the co...
If the length of the diagonal of a square is 9.2 cm, then the area of the square is:
When the breadth of a rectangle is reduced by 4cm (keeping the length constant), its area reduces by 72 cm2 and when the length is reduced by...
The areas of three adjacent faces of a cuboid are 32 cm2,24cm2 and 48cm2.Find the volume of cuboid.(in cm cube)
The amount of concrete required to build a concrete cylindrical pillar whose base has a perimeter 8.8 metre and curved surface area 17.6 sq. metre, is (...
Find the time taken by a pipe, which releases 94.5 m3 of water in a minute to fill an empty cylindrical tank of radius 18 m and height 14 m. ...
A rectangular piece of copper foil of length 56 cm and area 616 cm2 is folded along its width to form a cylinder such that there is only one ...
Relevant for Exams:
