List of top Questions asked in KCET

Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let z = px + qy, where p, q > 0. Condition on p and q so that the minimum of z occurs at (3, 0) and (1, 1) is

The feasible region of an LPP is shown in the figure. If Z = 11x + 7y then the maximum value of Z occurs at

Hypothyroidism is caused by the deficiency of

The sine of the angle between the straight line \(\frac{x-2}{3}=\frac{3-y}{-4}=\frac{z-4}{5}\) and the plane 2x - 2y + z = 5 is

The distance of the point (1, 2, -4) from the line \(\frac{x-3}{2}=\frac{y-3}{3}=\frac{z+5}{6}\) is

If a line makes an angle of \(\frac{\pi}{3}\) with each of x and y-axis, then the acute angle made by z-axis is

Which one of the following vitamins is not stored in adipose tissue?

Hinsberg's reagent is

The final product R is

The carbonyl compound that does not undergo aldol condensation is

The point (1, -3, 4) lies in the octant

If \(|\vec{a}\times\vec{b}|+|\vec{a}.\vec{b}|^2\)=144 and \(|\vec{a}|\) = 6, then \(|\vec{b}|\) is equal to

If the vectors \(2\hat{i}-3\hat{j}+4\hat{k},2\hat{i}+\hat{j}-\hat{k}\) and \(\lambda\hat{i}-\hat{j}+2\hat{k}\) are coplanar, then the value of λ is

If \(\vec{a}\) and \(\vec{b}\) are unit vectors and θ is the angle between \(\vec{a}\) and \(\vec{b}\), then sin\(\frac{θ}{2}\) is

The two vectors \(\hat{i}+\hat{j}+\hat{k}\) and \(\hat{i}+3\hat{j}+5\hat{k}\) represent the two sides \(\vec{AB}\) and \(\vec{AC}\) respectively of a ΔABC. The length of the median through A is

The curve passing through the point (1, 2) given that the slope of the tangent at any point (x, y) is \(\frac{2x}{y}\) represents

The general solution of the differential equation x²dy - 2xydx = x⁴cosx dx is

The order of the differential equation obtained by eliminating arbitrary constants in the family of curves c₁y = (c₂ + c₃)e^x+c₄ is

Which of the following has the lowest boiling point?

The area of the region bounded by the line y = 2x + 1, x-axis and the ordinates x = -1 and x = 1 is

The product ‘P’ is

which of the following is the stronger base?

The area of the region bounded by the curve y²=8x and the line y = 2x is

The steps involved in the conversion of propan -$2$-ol to propan -$1$-ol are in the order

The value of \(\int\limits_0^1\frac{\log(1+x)}{1+x^2}\ dx\) is