1
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If a point R(4, y, z) lies on the line segment joining the points P(2, –3, 4) and Q(8, 0, 10), then the distance of R from the origin is :
A
$$2 \sqrt {14}$$
B
$$ \sqrt {53}$$
C
$$2 \sqrt {21}$$
D
6
2
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The number of integral values of m for which the equation

(1 + m2 )x2 – 2(1 + 3m)x + (1 + 8m) = 0 has no real root is :
A
2
B
infinitely many
C
1
D
3
3
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If three distinct numbers a, b, c are in G.P. and the equations ax2 + 2bx + c = 0 and dx2 + 2ex + ƒ = 0 have a common root, then which one of the following statements is correct?
A
$$d \over a$$, $$e \over b$$, $$f \over c$$ are in G.P.
B
d, e, ƒ are in A.P
C
d, e, ƒ are in G.P
D
$$d \over a$$, $$e \over b$$, $$f \over c$$ are in A.P.
4
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$f(x) = \int\limits_0^x {g(t)dt} $$ where g is a non-zero even function. If ƒ(x + 5) = g(x), then $$ \int\limits_0^x {f(t)dt} $$ equals-
A
5$$\int\limits_{x + 5}^5 {g(t)dt} $$
B
$$\int\limits_{x + 5}^5 {g(t)dt} $$
C
$$\int\limits_{5}^{x+5} {g(t)dt} $$
D
2$$\int\limits_{5}^{x+5} {g(t)dt} $$
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