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Engineering

1 week, 5 days ago

Statement 1: An equation of a common tangent to the parabola and the ellipse is

Statement 2: If the line is a common tangent to the parabola

and the ellipse then m satisfies

- Option 1)
Statement 1 is false, statement 2 is true

- Option 2)
Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1

- Option 3)
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1

- Option 4)
Statement 1 is true, statement 2 is false

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As we learnt in

Equation of tangent -

- wherein

Tengent to is slope form.

**Statement 1 : **

**Statement 2 : **

If is a common tangent to and ellipse

From (i) statement 2 is a correct explanation for statement 1.

Option 1)

Statement 1 is false, statement 2 is true

This option is incorrect.

**Option 2)**

**Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1**

**This option is correct.**

Option 3)

Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1

This option is incorrect.

Option 4)

Statement 1 is true, statement 2 is false

This option is incorrect.

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