1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

5. "If two triangles are congruent, then their areas are equal" is the given statement then the contrapositive of, the inverse of the given statement is

A
If areas of two triangles are not equal then they are congruent
B
If two triangles are not congruent then their areas are equal
C
If two triangles are not congruent then their areas are not equal
D
If areas of two triangles are equal then they are congruent
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \log x \cdot[\log (e x)]^{-2} d x=\ldots$$

A
$\frac{x}{1+\log x}+c$
B
$x(1-\log x)+c$
C
$x(1+\log x)+c$
D
$\frac{x}{1-\log x}+c$
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $y=\log \left[\frac{x+\sqrt{x^2+25}}{\sqrt{x^2+25}-x}\right]$ then $\frac{d y}{d x}=\ldots \ldots$

A
$\frac{1}{\sqrt{x^2+25}}$
B
$\frac{2}{\sqrt{x^2+25}}$
C
$\frac{-1}{\sqrt{x^2+25}}$
D
$\frac{-2}{\sqrt{x^2+25}}$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the scalar triple product of the vectors $-3 \hat{\mathbf{i}}+7 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}, 3 \hat{\mathbf{i}}-7 \hat{\mathbf{j}}+\lambda \hat{\mathbf{k}}$ and $7 \hat{\mathbf{i}}-5 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}$ is 272 then $\lambda=\ldots \ldots$

A
9
B
11
C
8
D
10
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