Question:
Tangents are drawn from the origin to the curve y=cos x. Their points of contact lie on
Tangents are drawn from the origin to the curve y=cos x. Their points of contact lie on
Show Hint
For tangent-from-origin problems, use parametric form and eliminate the parameter.
Updated On: Mar 20, 2026
- \(x^2y^2=y^2-x^2\)
- \(x^2y^2=x^2+y^2\)
- \(x^2y^2=x^2-y^2\)
- None of these
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The locus obtained from the condition of tangency does not satisfy any of the given algebraic equations.
Hence, the correct answer is None of these.
Was this answer helpful?
0
0
Top BITSAT Mathematics Questions
- The equation of a plane passing through three non-collinear points is determined using:
- Let \( A = \begin{bmatrix} 1 & 0 & 0 0 & 1 & 0 3 & 2 & 1 \end{bmatrix} \). Find \( A^{100} \).
- BITSAT - 2026
- Mathematics
- types of matrices
- Let the foot of perpendicular from a point \( P(1,2,-1) \) to the straight line \( L: \frac{x}{1} = \frac{y}{0} = \frac{z}{-1} \) be \( N \). Let a line be drawn from \( P \) parallel to the plane \( x + y + 2z = 0 \) which meets \( L \) at point \( Q \). If \( \alpha \) is the acute angle between the lines PN and PQ, then \( \cos \alpha \) is equal to
- BITSAT - 2026
- Mathematics
- Three Dimensional Geometry
- The magnitude of projection of line joining (3, 4, 5) and (4, 6, 3) on the line joining (−1, 2, 4) and (1, 0, 5) is
- BITSAT - 2026
- Mathematics
- Three Dimensional Geometry
- If \( \vec{a} = 2\hat{i} + \hat{j} + 2\hat{k} \), then the value of \( |\hat{i} \times (\vec{a} \times \hat{i})|^2 + |\hat{j} \times (\vec{a} \times \hat{j})|^2 + |\hat{k} \times (\vec{a} \times \hat{k})|^2 \) is equal to
- BITSAT - 2026
- Mathematics
- Product of Two Vectors
View More Questions
Top BITSAT Tangents and Normals Questions
- Find the equation of the normal to a parabola which is perpendicular to a given line. This involves:
- BITSAT - 2026
- Mathematics
- Tangents and Normals
- Find the equation of the tangent to the curve $ y = x^3 - 3x + 1 $ at the point where $ x = 2 $.
- BITSAT - 2025
- Mathematics
- Tangents and Normals
- What is the x-coordinate of the point on the curve f(x)=√(x)(7x-6), where the tangent is parallel to x-axis?
- BITSAT - 2020
- Mathematics
- Tangents and Normals
- The slope of the tangent to the curve y=eˣcos x is minimum at x=α,0≤α\le2π. The value of α is
- BITSAT - 2019
- Mathematics
- Tangents and Normals
- The line which is parallel to the X-axis and crosses the curve y=√(x) at an angle 45^∘, is
- BITSAT - 2019
- Mathematics
- Tangents and Normals
View More Questions
Top BITSAT Questions
- Two lighter nuclei combine to form a comparatively heavier nucleus by the relation \[ \frac{2}{1}\text{X} + \frac{2}{1}\text{X} = \frac{4}{2}\text{Y} \] The binding energies per nucleon of \( \frac{2}{1}\text{X} \) and \( \frac{4}{2}\text{Y} \) are 1.1 MeV and 7.6 MeV respectively. The energy released in this process is
- The equation of a plane passing through three non-collinear points is determined using:
- Let \( A = \begin{bmatrix} 1 & 0 & 0 0 & 1 & 0 3 & 2 & 1 \end{bmatrix} \). Find \( A^{100} \).
- BITSAT - 2026
- types of matrices
- Let the foot of perpendicular from a point \( P(1,2,-1) \) to the straight line \( L: \frac{x}{1} = \frac{y}{0} = \frac{z}{-1} \) be \( N \). Let a line be drawn from \( P \) parallel to the plane \( x + y + 2z = 0 \) which meets \( L \) at point \( Q \). If \( \alpha \) is the acute angle between the lines PN and PQ, then \( \cos \alpha \) is equal to
- BITSAT - 2026
- Three Dimensional Geometry
- The magnitude of projection of line joining (3, 4, 5) and (4, 6, 3) on the line joining (−1, 2, 4) and (1, 0, 5) is
- BITSAT - 2026
- Three Dimensional Geometry
View More Questions