Question:
The tangent to the parabola, x2 = 2y at the point \((1,\frac{1}{2})\) makes with the x-axis an angle of :
The tangent to the parabola, x2 = 2y at the point \((1,\frac{1}{2})\) makes with the x-axis an angle of :
Updated On: Jun 13, 2024
- 0°
- 45°
- 30°
- 60°
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B) :45°.
Was this answer helpful?
0
0
Top Questions on Parabola
- Find the area of the region bounded by the parabola \[ y^2 = 4ax \text{ and its latus rectum.} \]
- The equation of the parabola whose focus is $(6, 0)$ and directrix is $x = -6$ is:
- Let \( L_1, L_2 \) be the lines passing through the point \( P(0, 1) \) and touching the parabola \[ 9x^2 + 12x + 18y - 14 = 0. \] Let \( Q \) and \( R \) be the points on the lines \( L_1 \) and \( L_2 \) such that the \( \Delta PQR \) is an isosceles triangle with base \( QR \). If the slopes of the lines \( QR \) are \( m_1 \) and \( m_2 \), then \( 16\left(m_1^2 + m_2^2\right) \) is equal to ______.
- Let \( C \) be the circle of minimum area touching the parabola \( y = 6 - x^2 \) and the lines \( y = \sqrt{3} |x| \). Then, which one of the following points lies on the circle \( C \)?
- Let the length of the focal chord \( PQ \) of the parabola \( y^2 = 12x \) be 15 units. If the distance of \( PQ \) from the origin is \( p \), then \( 10p^2 \) is equal to _____
View More Questions
Questions Asked in CUET exam
- Two resistances of 100 \(\Omega\) and 200 \(\Omega\) are connected in series across a 20 V battery as shown in the figure below. The reading in a 200 \(\Omega\) voltmeter connected across the 200 \(\Omega\) esistance is _______.
Fill in the blank with the correct answer from the options given below- CUET (UG) - 2024
- Current electricity
- Two parallel plate capacitors of capacitances 2 \(\mu F\) and 3 \(\mu F\) are joined in series and the combination is connected to a battery of V volts. The values of potential across the two capacitors \(V_1\) and \(V_2\) and energy stored in the two capacitors \(U_1\)and \(U_2\) respectively are related as_____
Fill in the blank with the correct answer from the options given below- CUET (UG) - 2024
- Electrostatics
- Who devised the concept of Intelligence Quotient (IQ)?
- CUET (UG) - 2024
- Psychological attributes
- As per data collected in 2011, arrange the following Indian states in terms of child sex-ratio from lowest to highest:
(A) Punjab
(B) Haryana
(C) Tamil Nadu
(D) Sikkim
Choose the correct answer from the options given below:- CUET (UG) - 2024
- Social Inequality and Exclusion
- A molecule X associates in a given solvent as per the following equation:
X ⇌ (X)n
For a given concentration of X, the van’t Hoff factor was found to be 0.80 and the
fraction of associated molecules was 0.3. The correct value of ‘n’ is:- CUET (UG) - 2024
- Solutions
View More Questions