List of top Questions asked in COMEDK UGET

If \( L = \lim_{x \to 0} \frac{a - \sqrt{a^2 - x^2}}{x^4} \), \( a > 0 \), then:
The coefficients \( a, b, c \) of the quadratic equation \( ax^2 + bx + c = 0 \) are obtained by throwing a die three times. The probability that this equation has equal roots is:
What will be the equation of the circle whose center is \( (1, 2) \) and touches the X-axis?
Evaluate: \( 8^{\log_5 5} \)
If \( |\mathbf{a}| = 8 \), \( |\mathbf{b}| = 3 \) and \( |\mathbf{a} \times \mathbf{b}| = 12 \), then find the angle between \( \mathbf{a} \) and \( \mathbf{b} \).
If for \(\vec{a} = 2\hat{i} + 3\hat{j} + \hat{k}\), \(\vec{b} = \hat{i} - 2\hat{j} + \hat{k}\), and \(\vec{c} = -3\hat{i} + \hat{j} + 2\hat{k}\), then find \([\vec{a} \, \vec{b} \, \vec{c}]\).
Write the solution of the following LPP \[ \text{Maximize } Z = x + y \] Subject to \[ 3x + 4y \leq 12, \quad x \geq 0, \quad y \geq 0 \] Which point the value of \( Z \) is maximum?
The vector that must be added to \[ \mathbf{i} - 3\mathbf{j} + 2\mathbf{k} \quad \text{and} \quad 3\mathbf{i} + 6\mathbf{j} - 7\mathbf{k} \] so resultant vector is a unit vector along the X-axis is:
The maximum value of \( x + y \) subject to \[ 2x + 3y \leq 6, \quad x \geq 0, \quad y \geq 0 \] is:
The value of \( \Delta G^\circ \) for the phosphorylation of glucose in glycolysis is 13.8 kJ/mol. The value of \( K_C \) at 298 K is:
Which of the following conditions are favourable for chemisorption?
The Lyman series of hydrogen spectrum lies in which region?
Which of the following series of transitions in the spectrum of hydrogen atom fall in the visible region?
What is the IUPAC name of the following compound? \[ \text{HC}= \text{C} - \text{C} = \text{CH} \]
Arrange the hydrides of group 15 in correct decreasing order of reducing nature:
Which of the following particulate matter is emitted from vehicles?
Calculate the difference between \(C_p\) and \(C_v\) for 10 moles of an ideal gas:
Find the compound which has both polar and non-polar covalent bonds:
For decolourisation of 1 mole of KMnO\(_4\), the moles of H\(_2\)O\(_2\) required is:
What would be the molarity of one litre solution of 22.2 g of CaCl\(_2\)?
The specific conductivity of a solution containing 1.0 g of anhydrous BaCl\(_2\) in 200 cm\(^3\) of the solution has been found to be 0.0058 Scm\(^{-1}\). The molar and equivalent conductivity of the solution respectively are:
Which type of ligand is EDTA?
Which of the following is the correct order of their increasing boiling points?
Which of the following is most stable?
The density of a gas A is thrice that of a gas B at the same temperature. The molecular weight of gas B is twice that of A. What will be the ratio of pressure acting on B and A?