Statement 1: In the figure areas of both parallelogram ABCD and the triangle ABE are equal.

Statement 2: Both the triangle and parallelogram have same base and height.

Pick the correct option

Both the statements are true and Statement 2 is explanation of Statement 1

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Both the statements are true and Statement 2 is not the explanation of Statement 1

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Statement 1 is true and Statement 2 is false

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Statement 1 is false and Statement 2 is true

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Solution

The correct option is C
Statement 1 is false and Statement 2 is true

Area of a triangle with the same base and height as a parallelogram is half the area of the parallelogram. So, statement 1 is false

But statement 2 is true. This is because they both have same base and lie between the same parallel lines.

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Similar questions

Choose the correct option.

Statement $1 : (p \land \sim q) \land (\sim p \land q)$ is a fallacy.

Statement $2 : (p \Rightarrow q) \Leftrightarrow (\sim q \Rightarrow\sim p)$ is a tautology.

1 :

x y + y z + z x = 1

x, y, z \in R^{+}

\frac{x}{1 + x^{2}} + \frac{y}{1 + y^{2}} + \frac{z}{1 + z^{2}} = \frac{2}{\sqrt{(1 + x^{2}) (1 + y^{2}) (1 + z^{2})}}

2 :

A B C

sin 2 A + sin 2 B + sin 2 C = 4 sin A sin B sin C

4^{\circ} C

M n^{2 +}, C r^{3 +}, V^{3 +}

T i^{3 +}

V^{3 +}

(8)^{\frac{1}{2}} B M

Statement 1: A polynomial P(x) of degree greater than or equal to one, when divided by x – a, leaves a remainder zero.

Statement 2: x – a is a factor of the polynomial P(x).