Delhi University MCA Geometry Previous Year Question Paper and Solution with PDF

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Previous Year Questions

Delhi University MCA
Previous Year Questions
Delhi University MCA

Delhi University MCA Previous Year Questions (PYQs)

Delhi University MCA Geometry PYQ

Qus : 1

The locus of the point (α, β) such that the line y = αx + β, become a tangent to the hyperbola 9x²- 4x² = 36, is

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Qus : 2

The area (in squares units) of the quadrilateral formed by the tangent lines drawn to the ellipse

at the ends of its two latus rectums is

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Qus : 3

The equation 2x² + y² - 12x - 4y + 16 = 0 represents

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Qus : 4

The equation of common tangent to the curve y² = 8x and xy = - 1 is

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Solution:

Let the common tangent be:

$y = mx + c$ For curve

$y^2 = 8x$ :
Condition for tangency gives:

$mc = 2 \quad \text{(1)}$ For curve

$xy = -1$ :
Condition for tangency gives:

$c^2 = 4m \quad \text{(2)}$ Substitute

$c = \frac{2}{m}$ from (1) into (2):

$\left(\frac{2}{m}\right)^2 = 4m \Rightarrow \frac{4}{m^2} = 4m \Rightarrow m^3 = 1 \Rightarrow m = 1$ Then,

$c = \frac{2}{1} = 2$

Final Answer:

$\boxed{y = x + 2}$

Qus : 5

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Qus : 6

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Qus : 7

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Qus : 8

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Qus : 9

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Qus : 10

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Delhi University MCA Geometry PYQ

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