Which area shows the displacement covered by the particle after time t.

Polarization power of a cation increases when

Here are the graphs of v→ t of moving body. which of them is not suitable

The number of values of c such that st. line y = 4x + c touches the curve is

Tangents are drawn to the ellipse at the ends of the latus rectum. The are of the quadrilateral so formed is

A tangent to the ellipse x² + 4y² = 4 meets the ellipse x² + 2y² = 6 at P and Q. The angle between the tangents at P and Q of the ellipse x² + 2y² = 6 is

Here are the graphs of x→ t of moving body. which of them is not suitable?

A cubic polynomial f(x) = ax³ + bx² + cx + d has a graph which touches the x-axis at 2, has another x-intercept at –1 and has y-intercept at –2 as shown. The value of, a + b + c + d equals

If a function has a tangent at a point x=  , then, it means, it is the critical point of that function and the derivative of the function is zero at that point.
Perform the calculations carefully, to avoid silly mistakes.
One should know how to read a graph to solve such questions.

Consider f(x) = |1–x| 1 £ x £ 2 and g(x )= f(x) + b , 1 £ x £ 2 then which of the following is correct?

The value of c in Lagrange’s theorem for the function f(x) = log sin x in the interval is -

The relation between time and displacement of a moving particle is given by where  is a constant. The shape of the graph  is  is....

If P (q) and Q are two points on the ellipse , then locus of the mid – point of PQ is

If CP and CD are semi – conjugate diameters of an ellipse then CP² + CD² =

The normals to the curve x = a ( + sin ), y = a (1 – cos ) at the points = (2n + 1) , n I are all -

The normal to the curve x = 3 cos – cos3, y = 3 sin – sin3 at the point = /4 passes through the point -

The normal of the curve given by the equation x = a (sin + cos), y = a (sin – cos) at the point Q is -