1
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

The angle between the lines $$2 x=3 y=-z$$ and $$6 x=-y=-4 z$$ is:

A
$$0^{\circ}$$
B
$$30^{\circ}$$
C
$$45^{\circ}$$
D
$$90^{\circ}$$
2
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

If for any two events $$\mathrm{A}$$ and $$\mathrm{B}, P(A)=\frac{4}{5}$$ and $$P(A \cap B)=\frac{7}{10}$$, then $$P(B / A)$$ is equals to:

A
$$\frac{1}{10}$$
B
$$\frac{1}{8}$$
C
$$\frac{7}{8}$$
D
$$\frac{17}{20}$$
3
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

Five fair coins are tossed simultaneously. The probability of the events that atleast one head comes up is:

A
$$\frac{27}{32}$$
B
$$\frac{5}{32}$$
C
$$\frac{31}{32}$$
D
$$\frac{1}{32}$$
4
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

Assertion (A): Two coins are tossed simultaneously. The probability of getting two heads, if it is known that at least one head comes up, is $$\frac{1}{3}$$.

Reason (R): Let E and F be two events with a random experiment, then $$\mathrm{P}(\mathrm{F} / \mathrm{E})=\frac{\mathrm{P}(\mathrm{E} \cap \mathrm{F})}{\mathrm{P}(\mathrm{E})}$$.

A
(a) Both (A) and (R) are true and (R) is the correct explanation of (A).
B
(b) Both (A) and (R) are true, but (R) is not the correct explanation of A.
C
(c) (A) is true and (R) is false.
D
(d) (A) is false, but (R) is true.
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