MHT CET 2021 23th September Morning Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2021 23th September Morning Shift

MCQ (Single Correct Answer)

-0

The general solution of the differential equation $$\frac{d y}{d x}=2^{y-x}$$ is

$$2^x-2^y=c$$

$$\frac{1}{2^x}-\frac{1}{2^y}=c$$

$$\frac{1}{2^x}+\frac{1}{2^y}=c$$

$$2^x+2^y=c$$

MHT CET 2021 23th September Morning Shift

MCQ (Single Correct Answer)

-0

The vector equation of the line passing through $$\mathrm{P}(1,2,3)$$ and $$\mathrm{Q}(2,3,4)$$ is

$$(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(\hat{i}+\hat{j}+\hat{k})$$

$$(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(\hat{i}-\hat{j}-\hat{k})$$

$$(\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})+\lambda(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+4 \hat{\mathrm{k}})$$

$$(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(2 \hat{i}+6 \hat{j}+12 \hat{k})$$

MHT CET 2021 23th September Morning Shift

MCQ (Single Correct Answer)

-0

Range of the function $$f(x)=3+2^x+4^x$$ is

$$(3, \infty)$$

$$(-\infty, \infty)$$

$$[3, \infty)$$

$$(-\infty, 3]$$

MHT CET 2021 23th September Morning Shift

MCQ (Single Correct Answer)

-0

The combined equation of a pair of lines passing through the origin and inclined at $$60^{\circ}$$ and $$30=$$ respectively with $$x$$-axis is

$$\sqrt{3}\left(x^2+y^2\right)=2 x y$$

$$\sqrt{3}\left(x^2+y^2\right)=4 x y$$

$$4\left(x^2+y^2\right)=\sqrt{3} x y$$

$$2\left(x^2+y^2\right)=\sqrt{3} x y$$

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