List of top Questions asked in AP ECET Ceramic Tech- 2026

The equation of the ellipse with foci at \((\pm 3,0)\) and the eccentricity as \(1/3\) is:

The length of the latus rectum and eccentricity of the Hyperbola \(9x^2-16y^2=144\) are

The line \(y=mx+2\) is a tangent to the parabola \(y^2=8x\) if

If the parabola \(y^2=4ax\) passes through the point \((3,2)\), then the length of its latus rectum is:

The equation of a circle whose Centre is \((2,-1)\) and which passes through the point \((3,6)\) is

The equation of a circle whose Centre is \((-3,2)\) and area is \(176\) units is

The conjugate of \( (1+i)^3 \) is

If \( z_1=4i^{40}-5i^{35}+6i^{17}+2,\ z_2=-1+i \), then \( |z_1+z_2|= \)

\[ \tan^{-1}1+\tan^{-1}2+\tan^{-1}3= \]

\[ \cos 6^\circ \sin 24^\circ \cos 72^\circ= \]

If \( \cos\theta=\frac{1}{2}\left(a+\frac{1}{a}\right) \), then \(4\cos^3\theta-3\cos\theta=\)

\[ \tan 9^\circ-\tan 27^\circ-\tan 63^\circ+\tan 81^\circ= \]

\[ \frac{\tan x-1+\sec x}{\tan x-\sec x+1} = \]

If \( \tan\theta+\sec\theta=\sqrt{3} \), then the principal value of \( \theta \) in \( [0,2\pi] \) is

Diffusion in Solids occurs mainly due to

A Covalent bond is formed due to

The eutectic point in the \(SiO_2-Na_2O\) phase diagram occurs at

Burger's vector is perpendicular to

A Cation vacancy and an anion vacancy in a crystal of the type \(AB\) is called

Which of the following is a non-oxide ceramic?

Advanced Ceramics are also known as

Bayer process is used to produce

Thin sheets used for substrates for electronics are produced by

Acheson process is used to prepare

Which of the following material has highest Dielectric constant?