diff --git a/Problem10.java b/Problem10.java
new file mode 100644
index 00000000..c817e4d4
--- /dev/null
+++ b/Problem10.java
@@ -0,0 +1,25 @@
+// Time Complexity : O(log N)
+// Space Complexity : O(1)
+// Did this code successfully run on Leetcode : Yes
+// Any problem you faced while coding this : No
+
+class Solution {
+    public int findMin(int[] nums) {
+        int low = 0;
+        int high = nums.length - 1;
+        while (low <= high) {
+            if (nums[low] <= nums[high]) {
+                return nums[low];
+            }
+            int mid = low + (high - low)/2;
+            if((mid == 0 || nums[mid] < nums[mid - 1]) && (mid == nums.length-1 || nums[mid] < nums[mid + 1])){
+                return nums[mid];
+            } else if (nums[low] <= nums[mid]) {
+                low = mid + 1;
+            } else {
+                high = mid - 1;
+            }
+        }
+        return -1;
+    }
+}
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diff --git a/Problem11.java b/Problem11.java
new file mode 100644
index 00000000..f2209ad1
--- /dev/null
+++ b/Problem11.java
@@ -0,0 +1,24 @@
+// Time Complexity : O(log N)
+// Space Complexity : O(1)
+// Did this code successfully run on Leetcode : Yes
+// Any problem you faced while coding this : No
+
+class Solution {
+    public int findPeakElement(int[] nums) {
+        int low = 0;
+        int high = nums.length - 1;
+
+        while(low <= high) {
+            int mid = low + (high - low)/2;
+
+            if((mid == 0 || nums[mid] > nums[mid - 1]) && ( mid == nums.length - 1 || nums[mid] > nums[mid + 1])){
+                return mid;
+            } else if (nums[mid + 1] > nums[mid]) {
+                low = mid + 1;
+            } else {
+                high = mid - 1;
+            }
+        }
+        return -1;
+    }
+}
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diff --git a/Problem9.java b/Problem9.java
new file mode 100644
index 00000000..9c0a6464
--- /dev/null
+++ b/Problem9.java
@@ -0,0 +1,51 @@
+// Time Complexity : O(log N)
+// Space Complexity : O(1)
+// Did this code successfully run on Leetcode : Yes
+// Any problem you faced while coding this : No
+
+class Solution {
+    public int[] searchRange(int[] nums, int target) {
+        int first = firstBinarySearch(nums, target, 0, nums.length-1);
+        if (first == -1) return new int[]{-1,-1};
+        int second = secondBinarySearch(nums, target, first, nums.length-1);
+        return new int[]{first, second};
+    }
+
+    public static int firstBinarySearch(int[] nums, int target, int low, int high) {
+        while (low <= high) {
+            int mid = low + (high - low)/2;
+
+            if (nums[mid] == target) {
+                if (mid == 0 || nums[mid-1] != target) {
+                    return mid;
+                } else {
+                    high = mid - 1;
+                }
+            } else if (nums[mid] > target) {
+                high = mid - 1;
+            } else {
+                low = mid + 1;
+            }
+        }
+        return -1;
+    }
+
+    public static int secondBinarySearch(int[] nums, int target, int low, int high) {
+        while (low <= high) {
+            int mid = low + (high - low)/2;
+
+            if (nums[mid] == target) {
+                if (mid == nums.length-1 || nums[mid+1] != target) {
+                    return mid;
+                } else {
+                    low = mid + 1;
+                }
+            } else if (nums[mid] > target) {
+                high = mid - 1;
+            } else {
+                low = mid + 1;
+            }
+        }
+        return -1;
+    }
+}
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