Binding energy per nucleon versas mass number curve for nuclei is shown in the fig W,X,Y and Z are four nuclei indicated on the curve The process that would release energy is

The ends of a line segment are P (1, 3) and Q (1, 1). R is a point on the line segment PQ such that PQ : QR = 1 : λ. If R is an interior point of the parabola y² = 4x, then -

if a point lies inside the curve, then it gives a negative value when we substitute its value in the curve
zero when it lies on the curve and
positive value when it lies outside the curve.

If length of focal chord of y² = 4ax is λ, then angle between axis of parabola and focal chord is

Assertion: If a > 0 and b² – 4ac < 0 then the value of the integral will be of the type tan^–1 + C, where A, B, C,  are constants.
Reason: If a > 0, b² – 4ac < 0 then ax² + b x + c can be written as sum of two squares.

The diagram below shows the propagation of a wave. Which points are in same phase

If f(x) is the primitive of (x  0), then f ' (x) is -

The value of  for which dx = log (4^x + x⁴) is -

dx =

If f(x) is the primitive of (x  0), then is-

Let the line + my = 1 cut the parabola y² = 4ax in the points A and B. Normals at A and B meet at point C. Normal from C other than these two meet the parabola at D then the coordinate of D are

A line bisecting the ordinate PN of a point P (at², 2at), t > 0, on the parabola y² = 4ax is drawn parallel to the axis to meet the curve at Q. If NQ meets the tangent at the vertex at the point T, Then the coordinates of T are.

If the tangent at the point P(x₁, y₁) to the parabola y² = 4ax meets the parabola y² = 4a(x + b) at Q and R, then the mid-point of QR is -

Condition on 'a' and 'b', such that a point can be found so that two tangents can be drawn from it to parabola S₁ = 0 are normals to the parabola S₂= 0 is-

The normal y = mx – 2am – am² to the parabola y² = 4ax subtends a right angle at the origin, then-

If the point (2a, a) lies inside the parabola x² – 2x – 4y + 3 = 0, then a lies in the interval-

The parametric equation of a parabola is x = 4t², y = 8t. The tangents at the points whose parameters are and 1 meet on the line -